%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN473+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:53:15 EDT 2022 % Result : Theorem 1.20s 1.43s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN473+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.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 15:36:22 EDT 2022 % 0.12/0.33 % CPUTime : % 1.20/1.43 (* PROOF-FOUND *) % 1.20/1.43 % SZS status Theorem % 1.20/1.43 (* BEGIN-PROOF *) % 1.20/1.43 % SZS output start Proof % 1.20/1.43 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a793))/\((c2_1 (a793))/\(~(c1_1 (a793)))))))/\(((~(hskp1))\/((ndr1_0)/\((c3_1 (a794))/\((~(c0_1 (a794)))/\(~(c2_1 (a794)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a795)))/\((~(c1_1 (a795)))/\(~(c3_1 (a795)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a798))/\((c2_1 (a798))/\(~(c3_1 (a798)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a799))/\((c3_1 (a799))/\(~(c1_1 (a799)))))))/\(((~(hskp5))\/((ndr1_0)/\((c3_1 (a800))/\((~(c0_1 (a800)))/\(~(c1_1 (a800)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a802))/\((~(c0_1 (a802)))/\(~(c1_1 (a802)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a821)))/\((~(c1_1 (a821)))/\(~(c2_1 (a821)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a856))/\((~(c2_1 (a856)))/\(~(c3_1 (a856)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp3)\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp9)\/(hskp10)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((hskp1)\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp13)\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp0)\/(hskp5)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp13)\/(hskp16)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp17)\/(hskp0)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((hskp21)\/(hskp18)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp28)\/(hskp19)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((hskp4)\/(hskp28)))/\(((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20))))))\/((hskp23)\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp22)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp15)\/(hskp16)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11)))/\(((hskp30)\/((hskp28)\/(hskp19)))/\(((hskp9)\/((hskp3)\/(hskp26)))/\(((hskp27)\/((hskp21)\/(hskp28)))/\(((hskp4)\/((hskp24)\/(hskp5)))/\(((hskp4)\/((hskp26)\/(hskp5)))/\(((hskp28)\/((hskp8)\/(hskp10)))/\((hskp22)\/((hskp1)\/(hskp11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.20/1.43 Proof. % 1.20/1.43 assert (zenon_L1_ : (~(hskp4)) -> (hskp4) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1 zenon_H2. % 1.20/1.43 exact (zenon_H1 zenon_H2). % 1.20/1.43 (* end of lemma zenon_L1_ *) % 1.20/1.43 assert (zenon_L2_ : (~(hskp24)) -> (hskp24) -> False). % 1.20/1.43 do 0 intro. intros zenon_H3 zenon_H4. % 1.20/1.43 exact (zenon_H3 zenon_H4). % 1.20/1.43 (* end of lemma zenon_L2_ *) % 1.20/1.43 assert (zenon_L3_ : (~(hskp5)) -> (hskp5) -> False). % 1.20/1.43 do 0 intro. intros zenon_H5 zenon_H6. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L3_ *) % 1.20/1.43 assert (zenon_L4_ : ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> (~(hskp24)) -> (~(hskp5)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.20/1.43 exact (zenon_H1 zenon_H2). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.20/1.43 exact (zenon_H3 zenon_H4). % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L4_ *) % 1.20/1.43 assert (zenon_L5_ : (~(hskp30)) -> (hskp30) -> False). % 1.20/1.43 do 0 intro. intros zenon_H9 zenon_Ha. % 1.20/1.43 exact (zenon_H9 zenon_Ha). % 1.20/1.43 (* end of lemma zenon_L5_ *) % 1.20/1.43 assert (zenon_L6_ : (~(hskp28)) -> (hskp28) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hb zenon_Hc. % 1.20/1.43 exact (zenon_Hb zenon_Hc). % 1.20/1.43 (* end of lemma zenon_L6_ *) % 1.20/1.43 assert (zenon_L7_ : (~(hskp19)) -> (hskp19) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hd zenon_He. % 1.20/1.43 exact (zenon_Hd zenon_He). % 1.20/1.43 (* end of lemma zenon_L7_ *) % 1.20/1.43 assert (zenon_L8_ : ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp30)) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 1.20/1.43 exact (zenon_H9 zenon_Ha). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 1.20/1.43 exact (zenon_Hb zenon_Hc). % 1.20/1.43 exact (zenon_Hd zenon_He). % 1.20/1.43 (* end of lemma zenon_L8_ *) % 1.20/1.43 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.20/1.43 do 0 intro. intros zenon_H11 zenon_H12. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 (* end of lemma zenon_L9_ *) % 1.20/1.43 assert (zenon_L10_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 1.20/1.43 generalize (zenon_H13 (a862)). zenon_intro zenon_H17. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 1.20/1.43 exact (zenon_H14 zenon_H1a). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 1.20/1.43 exact (zenon_H15 zenon_H1c). % 1.20/1.43 exact (zenon_H1b zenon_H16). % 1.20/1.43 (* end of lemma zenon_L10_ *) % 1.20/1.43 assert (zenon_L11_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.20/1.43 generalize (zenon_H1d (a867)). zenon_intro zenon_H21. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H11 | zenon_intro zenon_H22 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 1.20/1.43 exact (zenon_H24 zenon_H1e). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 1.20/1.43 exact (zenon_H26 zenon_H1f). % 1.20/1.43 exact (zenon_H25 zenon_H20). % 1.20/1.43 (* end of lemma zenon_L11_ *) % 1.20/1.43 assert (zenon_L12_ : (~(hskp22)) -> (hskp22) -> False). % 1.20/1.43 do 0 intro. intros zenon_H27 zenon_H28. % 1.20/1.43 exact (zenon_H27 zenon_H28). % 1.20/1.43 (* end of lemma zenon_L12_ *) % 1.20/1.43 assert (zenon_L13_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H29 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 1.20/1.43 apply (zenon_L10_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 1.20/1.43 apply (zenon_L11_); trivial. % 1.20/1.43 exact (zenon_H27 zenon_H28). % 1.20/1.43 (* end of lemma zenon_L13_ *) % 1.20/1.43 assert (zenon_L14_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_Hb zenon_Hd zenon_Hf. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.43 apply (zenon_L8_); trivial. % 1.20/1.43 apply (zenon_L13_); trivial. % 1.20/1.43 (* end of lemma zenon_L14_ *) % 1.20/1.43 assert (zenon_L15_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H2f zenon_H12 zenon_H30 zenon_H31 zenon_H32. % 1.20/1.43 generalize (zenon_H2f (a797)). zenon_intro zenon_H33. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 1.20/1.43 exact (zenon_H36 zenon_H30). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 1.20/1.43 exact (zenon_H38 zenon_H31). % 1.20/1.43 exact (zenon_H37 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L15_ *) % 1.20/1.43 assert (zenon_L16_ : (~(hskp27)) -> (hskp27) -> False). % 1.20/1.43 do 0 intro. intros zenon_H39 zenon_H3a. % 1.20/1.43 exact (zenon_H39 zenon_H3a). % 1.20/1.43 (* end of lemma zenon_L16_ *) % 1.20/1.43 assert (zenon_L17_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H3b zenon_H3c zenon_H39 zenon_Hd. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 1.20/1.43 apply (zenon_L15_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H3a | zenon_intro zenon_He ]. % 1.20/1.43 exact (zenon_H39 zenon_H3a). % 1.20/1.43 exact (zenon_Hd zenon_He). % 1.20/1.43 (* end of lemma zenon_L17_ *) % 1.20/1.43 assert (zenon_L18_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.43 apply (zenon_L14_); trivial. % 1.20/1.43 apply (zenon_L17_); trivial. % 1.20/1.43 (* end of lemma zenon_L18_ *) % 1.20/1.43 assert (zenon_L19_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H41 zenon_H12 zenon_H42 zenon_H43 zenon_H44. % 1.20/1.43 generalize (zenon_H41 (a796)). zenon_intro zenon_H45. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H11 | zenon_intro zenon_H46 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 1.20/1.43 exact (zenon_H48 zenon_H42). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 1.20/1.43 exact (zenon_H4a zenon_H43). % 1.20/1.43 exact (zenon_H49 zenon_H44). % 1.20/1.43 (* end of lemma zenon_L19_ *) % 1.20/1.43 assert (zenon_L20_ : (~(hskp26)) -> (hskp26) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4b zenon_H4c. % 1.20/1.43 exact (zenon_H4b zenon_H4c). % 1.20/1.43 (* end of lemma zenon_L20_ *) % 1.20/1.43 assert (zenon_L21_ : (~(hskp11)) -> (hskp11) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4d zenon_H4e. % 1.20/1.43 exact (zenon_H4d zenon_H4e). % 1.20/1.43 (* end of lemma zenon_L21_ *) % 1.20/1.43 assert (zenon_L22_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4b zenon_H4d. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ]. % 1.20/1.43 apply (zenon_L19_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 1.20/1.43 exact (zenon_H4b zenon_H4c). % 1.20/1.43 exact (zenon_H4d zenon_H4e). % 1.20/1.43 (* end of lemma zenon_L22_ *) % 1.20/1.43 assert (zenon_L23_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.43 apply (zenon_L18_); trivial. % 1.20/1.43 apply (zenon_L22_); trivial. % 1.20/1.43 (* end of lemma zenon_L23_ *) % 1.20/1.43 assert (zenon_L24_ : (~(hskp8)) -> (hskp8) -> False). % 1.20/1.43 do 0 intro. intros zenon_H55 zenon_H56. % 1.20/1.43 exact (zenon_H55 zenon_H56). % 1.20/1.43 (* end of lemma zenon_L24_ *) % 1.20/1.43 assert (zenon_L25_ : (~(hskp10)) -> (hskp10) -> False). % 1.20/1.43 do 0 intro. intros zenon_H57 zenon_H58. % 1.20/1.43 exact (zenon_H57 zenon_H58). % 1.20/1.43 (* end of lemma zenon_L25_ *) % 1.20/1.43 assert (zenon_L26_ : ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp28)) -> (~(hskp8)) -> (~(hskp10)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H59 zenon_Hb zenon_H55 zenon_H57. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 1.20/1.43 exact (zenon_Hb zenon_Hc). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H56 | zenon_intro zenon_H58 ]. % 1.20/1.43 exact (zenon_H55 zenon_H56). % 1.20/1.43 exact (zenon_H57 zenon_H58). % 1.20/1.43 (* end of lemma zenon_L26_ *) % 1.20/1.43 assert (zenon_L27_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H39 zenon_H55 zenon_H57 zenon_H59. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.43 apply (zenon_L26_); trivial. % 1.20/1.43 apply (zenon_L17_); trivial. % 1.20/1.43 (* end of lemma zenon_L27_ *) % 1.20/1.43 assert (zenon_L28_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H5b zenon_H12 zenon_H5c zenon_H5d zenon_H5e. % 1.20/1.43 generalize (zenon_H5b (a869)). zenon_intro zenon_H5f. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H60 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ]. % 1.20/1.43 exact (zenon_H5c zenon_H62). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 1.20/1.43 exact (zenon_H64 zenon_H5d). % 1.20/1.43 exact (zenon_H63 zenon_H5e). % 1.20/1.43 (* end of lemma zenon_L28_ *) % 1.20/1.43 assert (zenon_L29_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a797))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H65 zenon_H12 zenon_H66 zenon_H30 zenon_H32. % 1.20/1.43 generalize (zenon_H65 (a797)). zenon_intro zenon_H67. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H11 | zenon_intro zenon_H68 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 1.20/1.43 exact (zenon_H66 zenon_H6a). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 1.20/1.43 exact (zenon_H36 zenon_H30). % 1.20/1.43 exact (zenon_H37 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L29_ *) % 1.20/1.43 assert (zenon_L30_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (c2_1 (a797)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H6b zenon_H12 zenon_H65 zenon_H30 zenon_H32 zenon_H31. % 1.20/1.43 generalize (zenon_H6b (a797)). zenon_intro zenon_H6c. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H11 | zenon_intro zenon_H6d ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H6e ]. % 1.20/1.43 apply (zenon_L29_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ]. % 1.20/1.43 exact (zenon_H36 zenon_H30). % 1.20/1.43 exact (zenon_H38 zenon_H31). % 1.20/1.43 (* end of lemma zenon_L30_ *) % 1.20/1.43 assert (zenon_L31_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H65 zenon_H30 zenon_H32. % 1.20/1.43 generalize (zenon_H1d (a797)). zenon_intro zenon_H6f. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H11 | zenon_intro zenon_H70 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H66 | zenon_intro zenon_H69 ]. % 1.20/1.43 apply (zenon_L29_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 1.20/1.43 exact (zenon_H36 zenon_H30). % 1.20/1.43 exact (zenon_H37 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L31_ *) % 1.20/1.43 assert (zenon_L32_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a797)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H31 zenon_H12 zenon_H65 zenon_H30 zenon_H32. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.43 apply (zenon_L28_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.43 apply (zenon_L30_); trivial. % 1.20/1.43 apply (zenon_L31_); trivial. % 1.20/1.43 (* end of lemma zenon_L32_ *) % 1.20/1.43 assert (zenon_L33_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a796))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H73 zenon_H12 zenon_H74 zenon_H43 zenon_H44. % 1.20/1.43 generalize (zenon_H73 (a796)). zenon_intro zenon_H75. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H11 | zenon_intro zenon_H76 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H77 | zenon_intro zenon_H47 ]. % 1.20/1.43 exact (zenon_H74 zenon_H77). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 1.20/1.43 exact (zenon_H4a zenon_H43). % 1.20/1.43 exact (zenon_H49 zenon_H44). % 1.20/1.43 (* end of lemma zenon_L33_ *) % 1.20/1.43 assert (zenon_L34_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H6b zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.20/1.43 generalize (zenon_H6b (a796)). zenon_intro zenon_H78. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H11 | zenon_intro zenon_H79 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H48 | zenon_intro zenon_H7a ]. % 1.20/1.43 exact (zenon_H48 zenon_H42). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H74 | zenon_intro zenon_H4a ]. % 1.20/1.43 apply (zenon_L33_); trivial. % 1.20/1.43 exact (zenon_H4a zenon_H43). % 1.20/1.43 (* end of lemma zenon_L34_ *) % 1.20/1.43 assert (zenon_L35_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1d zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.20/1.43 generalize (zenon_H1d (a796)). zenon_intro zenon_H7b. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_H11 | zenon_intro zenon_H7c ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H48 | zenon_intro zenon_H7d ]. % 1.20/1.43 exact (zenon_H48 zenon_H42). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H74 | zenon_intro zenon_H49 ]. % 1.20/1.43 apply (zenon_L33_); trivial. % 1.20/1.43 exact (zenon_H49 zenon_H44). % 1.20/1.43 (* end of lemma zenon_L35_ *) % 1.20/1.43 assert (zenon_L36_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.43 apply (zenon_L28_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.43 apply (zenon_L34_); trivial. % 1.20/1.43 apply (zenon_L35_); trivial. % 1.20/1.43 (* end of lemma zenon_L36_ *) % 1.20/1.43 assert (zenon_L37_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H3b zenon_H7e zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L32_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.43 apply (zenon_L36_); trivial. % 1.20/1.43 exact (zenon_H55 zenon_H56). % 1.20/1.43 (* end of lemma zenon_L37_ *) % 1.20/1.43 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.43 apply (zenon_L14_); trivial. % 1.20/1.43 apply (zenon_L37_); trivial. % 1.20/1.43 (* end of lemma zenon_L38_ *) % 1.20/1.43 assert (zenon_L39_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.43 apply (zenon_L23_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.43 apply (zenon_L27_); trivial. % 1.20/1.43 apply (zenon_L38_); trivial. % 1.20/1.43 (* end of lemma zenon_L39_ *) % 1.20/1.43 assert (zenon_L40_ : (~(hskp25)) -> (hskp25) -> False). % 1.20/1.43 do 0 intro. intros zenon_H84 zenon_H85. % 1.20/1.43 exact (zenon_H84 zenon_H85). % 1.20/1.43 (* end of lemma zenon_L40_ *) % 1.20/1.43 assert (zenon_L41_ : (~(hskp1)) -> (hskp1) -> False). % 1.20/1.43 do 0 intro. intros zenon_H86 zenon_H87. % 1.20/1.43 exact (zenon_H86 zenon_H87). % 1.20/1.43 (* end of lemma zenon_L41_ *) % 1.20/1.43 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp25)) -> (~(hskp1)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H29 zenon_H88 zenon_H84 zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H1d | zenon_intro zenon_H89 ]. % 1.20/1.43 apply (zenon_L11_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H85 | zenon_intro zenon_H87 ]. % 1.20/1.43 exact (zenon_H84 zenon_H85). % 1.20/1.43 exact (zenon_H86 zenon_H87). % 1.20/1.43 (* end of lemma zenon_L42_ *) % 1.20/1.43 assert (zenon_L43_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hb zenon_Hd zenon_Hf. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.43 apply (zenon_L8_); trivial. % 1.20/1.43 apply (zenon_L42_); trivial. % 1.20/1.43 (* end of lemma zenon_L43_ *) % 1.20/1.43 assert (zenon_L44_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H84 zenon_H86 zenon_H88 zenon_H2e. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.43 apply (zenon_L43_); trivial. % 1.20/1.43 apply (zenon_L17_); trivial. % 1.20/1.43 (* end of lemma zenon_L44_ *) % 1.20/1.43 assert (zenon_L45_ : (~(hskp20)) -> (hskp20) -> False). % 1.20/1.43 do 0 intro. intros zenon_H8a zenon_H8b. % 1.20/1.43 exact (zenon_H8a zenon_H8b). % 1.20/1.43 (* end of lemma zenon_L45_ *) % 1.20/1.43 assert (zenon_L46_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H8c zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H9 zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ]. % 1.20/1.43 apply (zenon_L19_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.20/1.43 exact (zenon_H9 zenon_Ha). % 1.20/1.43 exact (zenon_H8a zenon_H8b). % 1.20/1.43 (* end of lemma zenon_L46_ *) % 1.20/1.43 assert (zenon_L47_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.43 apply (zenon_L44_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.43 apply (zenon_L46_); trivial. % 1.20/1.43 apply (zenon_L42_); trivial. % 1.20/1.43 (* end of lemma zenon_L47_ *) % 1.20/1.43 assert (zenon_L48_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H65 zenon_H12 zenon_H8e zenon_H8f zenon_H90. % 1.20/1.43 generalize (zenon_H65 (a840)). zenon_intro zenon_H91. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H11 | zenon_intro zenon_H92 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 1.20/1.43 exact (zenon_H8e zenon_H94). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 1.20/1.43 exact (zenon_H96 zenon_H8f). % 1.20/1.43 exact (zenon_H95 zenon_H90). % 1.20/1.43 (* end of lemma zenon_L48_ *) % 1.20/1.43 assert (zenon_L49_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H5b zenon_H12 zenon_H8e zenon_H97 zenon_H90. % 1.20/1.43 generalize (zenon_H5b (a840)). zenon_intro zenon_H98. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_H11 | zenon_intro zenon_H99 ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H94 | zenon_intro zenon_H9a ]. % 1.20/1.43 exact (zenon_H8e zenon_H94). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9b | zenon_intro zenon_H95 ]. % 1.20/1.43 generalize (zenon_H97 (a840)). zenon_intro zenon_H9c. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ]. % 1.20/1.43 exact (zenon_H11 zenon_H12). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ]. % 1.20/1.43 exact (zenon_H8e zenon_H94). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H95 ]. % 1.20/1.43 exact (zenon_H9b zenon_H9f). % 1.20/1.43 exact (zenon_H95 zenon_H90). % 1.20/1.43 exact (zenon_H95 zenon_H90). % 1.20/1.43 (* end of lemma zenon_L49_ *) % 1.20/1.43 assert (zenon_L50_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H90 zenon_H97 zenon_H8e zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L49_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L34_); trivial. % 1.20/1.44 apply (zenon_L11_); trivial. % 1.20/1.44 (* end of lemma zenon_L50_ *) % 1.20/1.44 assert (zenon_L51_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H7e zenon_H8f zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L48_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L50_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L51_ *) % 1.20/1.44 assert (zenon_L52_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.20/1.44 generalize (zenon_Ha0 (a865)). zenon_intro zenon_Ha4. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha5 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 1.20/1.44 exact (zenon_Ha1 zenon_Ha7). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 1.20/1.44 exact (zenon_Ha9 zenon_Ha2). % 1.20/1.44 exact (zenon_Ha8 zenon_Ha3). % 1.20/1.44 (* end of lemma zenon_L52_ *) % 1.20/1.44 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H29 zenon_Haa zenon_H55 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.20/1.44 apply (zenon_L51_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.20/1.44 apply (zenon_L48_); trivial. % 1.20/1.44 apply (zenon_L52_); trivial. % 1.20/1.44 (* end of lemma zenon_L53_ *) % 1.20/1.44 assert (zenon_L54_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hac zenon_Haa zenon_H8e zenon_H8f zenon_H90 zenon_H71 zenon_H7e zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H8c zenon_H8a zenon_H54. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.20/1.44 apply (zenon_L47_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L27_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.44 apply (zenon_L46_); trivial. % 1.20/1.44 apply (zenon_L53_); trivial. % 1.20/1.44 (* end of lemma zenon_L54_ *) % 1.20/1.44 assert (zenon_L55_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L27_); trivial. % 1.20/1.44 apply (zenon_L22_); trivial. % 1.20/1.44 (* end of lemma zenon_L55_ *) % 1.20/1.44 assert (zenon_L56_ : (~(hskp29)) -> (hskp29) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hb0 zenon_Hb1. % 1.20/1.44 exact (zenon_Hb0 zenon_Hb1). % 1.20/1.44 (* end of lemma zenon_L56_ *) % 1.20/1.44 assert (zenon_L57_ : (~(hskp9)) -> (hskp9) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hb2 zenon_Hb3. % 1.20/1.44 exact (zenon_Hb2 zenon_Hb3). % 1.20/1.44 (* end of lemma zenon_L57_ *) % 1.20/1.44 assert (zenon_L58_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hb4 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_Hb0 zenon_Hb2. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 1.20/1.44 apply (zenon_L28_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ]. % 1.20/1.44 exact (zenon_Hb0 zenon_Hb1). % 1.20/1.44 exact (zenon_Hb2 zenon_Hb3). % 1.20/1.44 (* end of lemma zenon_L58_ *) % 1.20/1.44 assert (zenon_L59_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H6b zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8. % 1.20/1.44 generalize (zenon_H6b (a829)). zenon_intro zenon_Hb9. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hba ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 1.20/1.44 exact (zenon_Hbc zenon_Hb6). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ]. % 1.20/1.44 exact (zenon_Hbe zenon_Hb7). % 1.20/1.44 exact (zenon_Hbd zenon_Hb8). % 1.20/1.44 (* end of lemma zenon_L59_ *) % 1.20/1.44 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H29 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L28_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L59_); trivial. % 1.20/1.44 apply (zenon_L11_); trivial. % 1.20/1.44 (* end of lemma zenon_L60_ *) % 1.20/1.44 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb zenon_Hd zenon_Hf. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.44 apply (zenon_L8_); trivial. % 1.20/1.44 apply (zenon_L60_); trivial. % 1.20/1.44 (* end of lemma zenon_L61_ *) % 1.20/1.44 assert (zenon_L62_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc2 zenon_H2e zenon_H71 zenon_Hb zenon_Hd zenon_Hf zenon_H12 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_L61_); trivial. % 1.20/1.44 (* end of lemma zenon_L62_ *) % 1.20/1.44 assert (zenon_L63_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (ndr1_0) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hb4 zenon_Hb2 zenon_H5e zenon_H5d zenon_H5c zenon_H12 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L62_); trivial. % 1.20/1.44 apply (zenon_L17_); trivial. % 1.20/1.44 (* end of lemma zenon_L63_ *) % 1.20/1.44 assert (zenon_L64_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6. % 1.20/1.44 generalize (zenon_Hc3 (a833)). zenon_intro zenon_Hc7. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc8 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 1.20/1.44 exact (zenon_Hc4 zenon_Hca). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 1.20/1.44 generalize (zenon_H65 (a833)). zenon_intro zenon_Hcd. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hcd); [ zenon_intro zenon_H11 | zenon_intro zenon_Hce ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 1.20/1.44 exact (zenon_Hc5 zenon_Hd0). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd1 ]. % 1.20/1.44 exact (zenon_Hcb zenon_Hc6). % 1.20/1.44 exact (zenon_Hd1 zenon_Hcc). % 1.20/1.44 exact (zenon_Hcb zenon_Hc6). % 1.20/1.44 (* end of lemma zenon_L64_ *) % 1.20/1.44 assert (zenon_L65_ : (~(hskp17)) -> (hskp17) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hd2 zenon_Hd3. % 1.20/1.44 exact (zenon_Hd2 zenon_Hd3). % 1.20/1.44 (* end of lemma zenon_L65_ *) % 1.20/1.44 assert (zenon_L66_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_Hd2 zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd5 ]. % 1.20/1.44 apply (zenon_L64_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H56 ]. % 1.20/1.44 exact (zenon_Hd2 zenon_Hd3). % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L66_ *) % 1.20/1.44 assert (zenon_L67_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L28_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L59_); trivial. % 1.20/1.44 apply (zenon_L35_); trivial. % 1.20/1.44 (* end of lemma zenon_L67_ *) % 1.20/1.44 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L66_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L67_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L68_ *) % 1.20/1.44 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_L68_); trivial. % 1.20/1.44 (* end of lemma zenon_L69_ *) % 1.20/1.44 assert (zenon_L70_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L63_); trivial. % 1.20/1.44 apply (zenon_L69_); trivial. % 1.20/1.44 (* end of lemma zenon_L70_ *) % 1.20/1.44 assert (zenon_L71_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L55_); trivial. % 1.20/1.44 apply (zenon_L70_); trivial. % 1.20/1.44 (* end of lemma zenon_L71_ *) % 1.20/1.44 assert (zenon_L72_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.20/1.44 generalize (zenon_Hd6 (a832)). zenon_intro zenon_Hda. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_H11 | zenon_intro zenon_Hdb ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 1.20/1.44 exact (zenon_Hd7 zenon_Hdd). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 1.20/1.44 generalize (zenon_Hd8 (a832)). zenon_intro zenon_He0. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_H11 | zenon_intro zenon_He1 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 1.20/1.44 exact (zenon_Hdf zenon_He3). % 1.20/1.44 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hde ]. % 1.20/1.44 exact (zenon_Hd7 zenon_Hdd). % 1.20/1.44 exact (zenon_Hde zenon_Hd9). % 1.20/1.44 exact (zenon_Hde zenon_Hd9). % 1.20/1.44 (* end of lemma zenon_L72_ *) % 1.20/1.44 assert (zenon_L73_ : (~(hskp3)) -> (hskp3) -> False). % 1.20/1.44 do 0 intro. intros zenon_He4 zenon_He5. % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L73_ *) % 1.20/1.44 assert (zenon_L74_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_He6 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H12 zenon_H39 zenon_He4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He7 ]. % 1.20/1.44 apply (zenon_L72_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H3a | zenon_intro zenon_He5 ]. % 1.20/1.44 exact (zenon_H39 zenon_H3a). % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L74_ *) % 1.20/1.44 assert (zenon_L75_ : (~(hskp15)) -> (hskp15) -> False). % 1.20/1.44 do 0 intro. intros zenon_He8 zenon_He9. % 1.20/1.44 exact (zenon_He8 zenon_He9). % 1.20/1.44 (* end of lemma zenon_L75_ *) % 1.20/1.44 assert (zenon_L76_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp27)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_H39 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L26_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.20/1.44 apply (zenon_L74_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.20/1.44 apply (zenon_L15_); trivial. % 1.20/1.44 exact (zenon_He8 zenon_He9). % 1.20/1.44 (* end of lemma zenon_L76_ *) % 1.20/1.44 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H8a zenon_H8c. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.44 apply (zenon_L46_); trivial. % 1.20/1.44 apply (zenon_L13_); trivial. % 1.20/1.44 (* end of lemma zenon_L77_ *) % 1.20/1.44 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L78_ *) % 1.20/1.44 assert (zenon_L79_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_L78_); trivial. % 1.20/1.44 (* end of lemma zenon_L79_ *) % 1.20/1.44 assert (zenon_L80_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_L22_); trivial. % 1.20/1.44 (* end of lemma zenon_L80_ *) % 1.20/1.44 assert (zenon_L81_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a840))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H90 zenon_H97 zenon_H8e zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L49_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L34_); trivial. % 1.20/1.44 apply (zenon_L35_); trivial. % 1.20/1.44 (* end of lemma zenon_L81_ *) % 1.20/1.44 assert (zenon_L82_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H7e zenon_H8f zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L48_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L81_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L82_ *) % 1.20/1.44 assert (zenon_L83_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (~(c1_1 (a869))) -> (c3_1 (a869)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H5c zenon_Hf1 zenon_H5e. % 1.20/1.44 generalize (zenon_Hf0 (a869)). zenon_intro zenon_Hf2. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf3 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf4 ]. % 1.20/1.44 exact (zenon_H5c zenon_H62). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H63 ]. % 1.20/1.44 exact (zenon_Hf1 zenon_Hf5). % 1.20/1.44 exact (zenon_H63 zenon_H5e). % 1.20/1.44 (* end of lemma zenon_L83_ *) % 1.20/1.44 assert (zenon_L84_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d. % 1.20/1.44 generalize (zenon_Hf6 (a869)). zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hf7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf8 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf9 ]. % 1.20/1.44 exact (zenon_H5c zenon_H62). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H64 ]. % 1.20/1.44 apply (zenon_L83_); trivial. % 1.20/1.44 exact (zenon_H64 zenon_H5d). % 1.20/1.44 (* end of lemma zenon_L84_ *) % 1.20/1.44 assert (zenon_L85_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H2f zenon_H12 zenon_Hf0 zenon_H5c zenon_H5e zenon_H5d. % 1.20/1.44 generalize (zenon_H2f (a869)). zenon_intro zenon_Hfa. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfb ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H61 ]. % 1.20/1.44 apply (zenon_L83_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 1.20/1.44 exact (zenon_H64 zenon_H5d). % 1.20/1.44 exact (zenon_H63 zenon_H5e). % 1.20/1.44 (* end of lemma zenon_L85_ *) % 1.20/1.44 assert (zenon_L86_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.20/1.44 apply (zenon_L72_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.20/1.44 apply (zenon_L85_); trivial. % 1.20/1.44 exact (zenon_He8 zenon_He9). % 1.20/1.44 (* end of lemma zenon_L86_ *) % 1.20/1.44 assert (zenon_L87_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hfc zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9. % 1.20/1.44 generalize (zenon_Hfc (a832)). zenon_intro zenon_Hfe. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H11 | zenon_intro zenon_Hff ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H100 | zenon_intro zenon_He2 ]. % 1.20/1.44 exact (zenon_Hfd zenon_H100). % 1.20/1.44 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hde ]. % 1.20/1.44 exact (zenon_Hd7 zenon_Hdd). % 1.20/1.44 exact (zenon_Hde zenon_Hd9). % 1.20/1.44 (* end of lemma zenon_L87_ *) % 1.20/1.44 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H80 zenon_H102 zenon_H1 zenon_Hfd zenon_H7e zenon_H71 zenon_H103 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L80_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.20/1.44 apply (zenon_L82_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.20/1.44 apply (zenon_L84_); trivial. % 1.20/1.44 apply (zenon_L86_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.20/1.44 apply (zenon_L87_); trivial. % 1.20/1.44 exact (zenon_H1 zenon_H2). % 1.20/1.44 (* end of lemma zenon_L88_ *) % 1.20/1.44 assert (zenon_L89_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H80 zenon_H102 zenon_Hfd zenon_H7e zenon_H71 zenon_H103 zenon_H4d zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_H54 zenon_Hef. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.44 apply (zenon_L79_); trivial. % 1.20/1.44 apply (zenon_L88_); trivial. % 1.20/1.44 (* end of lemma zenon_L89_ *) % 1.20/1.44 assert (zenon_L90_ : (~(hskp21)) -> (hskp21) -> False). % 1.20/1.44 do 0 intro. intros zenon_H109 zenon_H10a. % 1.20/1.44 exact (zenon_H109 zenon_H10a). % 1.20/1.44 (* end of lemma zenon_L90_ *) % 1.20/1.44 assert (zenon_L91_ : ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp27)) -> (~(hskp21)) -> (~(hskp28)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H10b zenon_H39 zenon_H109 zenon_Hb. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H3a | zenon_intro zenon_H10c ]. % 1.20/1.44 exact (zenon_H39 zenon_H3a). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10a | zenon_intro zenon_Hc ]. % 1.20/1.44 exact (zenon_H109 zenon_H10a). % 1.20/1.44 exact (zenon_Hb zenon_Hc). % 1.20/1.44 (* end of lemma zenon_L91_ *) % 1.20/1.44 assert (zenon_L92_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H10d zenon_H109 zenon_H4d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H2f | zenon_intro zenon_H10e ]. % 1.20/1.44 apply (zenon_L15_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e ]. % 1.20/1.44 exact (zenon_H109 zenon_H10a). % 1.20/1.44 exact (zenon_H4d zenon_H4e). % 1.20/1.44 (* end of lemma zenon_L92_ *) % 1.20/1.44 assert (zenon_L93_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4b zenon_H10b zenon_H109 zenon_H4d zenon_H10d zenon_H40. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L91_); trivial. % 1.20/1.44 apply (zenon_L92_); trivial. % 1.20/1.44 apply (zenon_L22_); trivial. % 1.20/1.44 (* end of lemma zenon_L93_ *) % 1.20/1.44 assert (zenon_L94_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H10d zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_H109 zenon_H4d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H2f | zenon_intro zenon_H10e ]. % 1.20/1.44 apply (zenon_L85_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H10a | zenon_intro zenon_H4e ]. % 1.20/1.44 exact (zenon_H109 zenon_H10a). % 1.20/1.44 exact (zenon_H4d zenon_H4e). % 1.20/1.44 (* end of lemma zenon_L94_ *) % 1.20/1.44 assert (zenon_L95_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H102 zenon_H4d zenon_H109 zenon_H10d zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.20/1.44 apply (zenon_L94_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.20/1.44 apply (zenon_L87_); trivial. % 1.20/1.44 exact (zenon_H1 zenon_H2). % 1.20/1.44 (* end of lemma zenon_L95_ *) % 1.20/1.44 assert (zenon_L96_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L93_); trivial. % 1.20/1.44 apply (zenon_L95_); trivial. % 1.20/1.44 (* end of lemma zenon_L96_ *) % 1.20/1.44 assert (zenon_L97_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H10f zenon_H12 zenon_H110 zenon_H111 zenon_H112. % 1.20/1.44 generalize (zenon_H10f (a838)). zenon_intro zenon_H113. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H11 | zenon_intro zenon_H114 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 1.20/1.44 exact (zenon_H110 zenon_H116). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.20/1.44 exact (zenon_H118 zenon_H111). % 1.20/1.44 exact (zenon_H117 zenon_H112). % 1.20/1.44 (* end of lemma zenon_L97_ *) % 1.20/1.44 assert (zenon_L98_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.20/1.44 apply (zenon_L64_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.20/1.44 apply (zenon_L97_); trivial. % 1.20/1.44 apply (zenon_L72_); trivial. % 1.20/1.44 (* end of lemma zenon_L98_ *) % 1.20/1.44 assert (zenon_L99_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L98_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L36_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L99_ *) % 1.20/1.44 assert (zenon_L100_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H73 zenon_H12 zenon_H2f zenon_H43 zenon_H44. % 1.20/1.44 generalize (zenon_H73 (a796)). zenon_intro zenon_H75. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H11 | zenon_intro zenon_H76 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H77 | zenon_intro zenon_H47 ]. % 1.20/1.44 generalize (zenon_H2f (a796)). zenon_intro zenon_H11b. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H11 | zenon_intro zenon_H11c ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H74 | zenon_intro zenon_H47 ]. % 1.20/1.44 exact (zenon_H74 zenon_H77). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 1.20/1.44 exact (zenon_H4a zenon_H43). % 1.20/1.44 exact (zenon_H49 zenon_H44). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 1.20/1.44 exact (zenon_H4a zenon_H43). % 1.20/1.44 exact (zenon_H49 zenon_H44). % 1.20/1.44 (* end of lemma zenon_L100_ *) % 1.20/1.44 assert (zenon_L101_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L66_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L100_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L101_ *) % 1.20/1.44 assert (zenon_L102_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H71 zenon_H7e zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.20/1.44 apply (zenon_L96_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L80_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.20/1.44 apply (zenon_L99_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.20/1.44 apply (zenon_L101_); trivial. % 1.20/1.44 exact (zenon_He8 zenon_He9). % 1.20/1.44 (* end of lemma zenon_L102_ *) % 1.20/1.44 assert (zenon_L103_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a832))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H124 zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H10b zenon_H10d zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H4d zenon_H103 zenon_H71 zenon_H7e zenon_Hfd zenon_H102 zenon_H80 zenon_H108. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.20/1.44 apply (zenon_L89_); trivial. % 1.20/1.44 apply (zenon_L102_); trivial. % 1.20/1.44 (* end of lemma zenon_L103_ *) % 1.20/1.44 assert (zenon_L104_ : (~(hskp7)) -> (hskp7) -> False). % 1.20/1.44 do 0 intro. intros zenon_H125 zenon_H126. % 1.20/1.44 exact (zenon_H125 zenon_H126). % 1.20/1.44 (* end of lemma zenon_L104_ *) % 1.20/1.44 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H127 zenon_H4d zenon_H109 zenon_H5c zenon_H5e zenon_H5d zenon_H10d zenon_H125. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.20/1.44 apply (zenon_L94_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.20/1.44 apply (zenon_L15_); trivial. % 1.20/1.44 exact (zenon_H125 zenon_H126). % 1.20/1.44 (* end of lemma zenon_L105_ *) % 1.20/1.44 assert (zenon_L106_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H5c zenon_H5e zenon_H5d zenon_H4d zenon_H10d zenon_H39 zenon_H109 zenon_H10b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L91_); trivial. % 1.20/1.44 apply (zenon_L105_); trivial. % 1.20/1.44 (* end of lemma zenon_L106_ *) % 1.20/1.44 assert (zenon_L107_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L93_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L106_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L26_); trivial. % 1.20/1.44 apply (zenon_L37_); trivial. % 1.20/1.44 (* end of lemma zenon_L107_ *) % 1.20/1.44 assert (zenon_L108_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H129 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.20/1.44 generalize (zenon_H129 (a825)). zenon_intro zenon_H12d. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H11 | zenon_intro zenon_H12e ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ]. % 1.20/1.44 exact (zenon_H12a zenon_H130). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 1.20/1.44 exact (zenon_H132 zenon_H12b). % 1.20/1.44 exact (zenon_H131 zenon_H12c). % 1.20/1.44 (* end of lemma zenon_L108_ *) % 1.20/1.44 assert (zenon_L109_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hb. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ]. % 1.20/1.44 apply (zenon_L108_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ]. % 1.20/1.44 apply (zenon_L97_); trivial. % 1.20/1.44 exact (zenon_Hb zenon_Hc). % 1.20/1.44 (* end of lemma zenon_L109_ *) % 1.20/1.44 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L109_); trivial. % 1.20/1.44 apply (zenon_L37_); trivial. % 1.20/1.44 (* end of lemma zenon_L110_ *) % 1.20/1.44 assert (zenon_L111_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L27_); trivial. % 1.20/1.44 apply (zenon_L110_); trivial. % 1.20/1.44 (* end of lemma zenon_L111_ *) % 1.20/1.44 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H121 zenon_H80 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L55_); trivial. % 1.20/1.44 apply (zenon_L111_); trivial. % 1.20/1.44 (* end of lemma zenon_L112_ *) % 1.20/1.44 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_L110_); trivial. % 1.20/1.44 (* end of lemma zenon_L113_ *) % 1.20/1.44 assert (zenon_L114_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H11e zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.20/1.44 apply (zenon_L96_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L80_); trivial. % 1.20/1.44 apply (zenon_L113_); trivial. % 1.20/1.44 (* end of lemma zenon_L114_ *) % 1.20/1.44 assert (zenon_L115_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H1 zenon_H102 zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_H3c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H11e. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.20/1.44 apply (zenon_L107_); trivial. % 1.20/1.44 apply (zenon_L112_); trivial. % 1.20/1.44 apply (zenon_L114_); trivial. % 1.20/1.44 (* end of lemma zenon_L115_ *) % 1.20/1.44 assert (zenon_L116_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H27. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 1.20/1.44 apply (zenon_L10_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 1.20/1.44 apply (zenon_L31_); trivial. % 1.20/1.44 exact (zenon_H27 zenon_H28). % 1.20/1.44 (* end of lemma zenon_L116_ *) % 1.20/1.44 assert (zenon_L117_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H73 zenon_H12 zenon_H139 zenon_H13a zenon_H13b. % 1.20/1.44 generalize (zenon_H73 (a817)). zenon_intro zenon_H13c. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ]. % 1.20/1.44 exact (zenon_H139 zenon_H13f). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ]. % 1.20/1.44 exact (zenon_H141 zenon_H13a). % 1.20/1.44 exact (zenon_H140 zenon_H13b). % 1.20/1.44 (* end of lemma zenon_L117_ *) % 1.20/1.44 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H3b zenon_H7e zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H13b zenon_H13a zenon_H139 zenon_H55. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L116_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L117_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L118_ *) % 1.20/1.44 assert (zenon_L119_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H27 zenon_H2a zenon_H55 zenon_H57 zenon_H59. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L26_); trivial. % 1.20/1.44 apply (zenon_L118_); trivial. % 1.20/1.44 (* end of lemma zenon_L119_ *) % 1.20/1.44 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H55. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L48_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.44 apply (zenon_L117_); trivial. % 1.20/1.44 exact (zenon_H55 zenon_H56). % 1.20/1.44 (* end of lemma zenon_L120_ *) % 1.20/1.44 assert (zenon_L121_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H40 zenon_Hef. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_L119_); trivial. % 1.20/1.44 apply (zenon_L120_); trivial. % 1.20/1.44 (* end of lemma zenon_L121_ *) % 1.20/1.44 assert (zenon_L122_ : ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> (~(hskp3)) -> (~(hskp26)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H142 zenon_Hb2 zenon_He4 zenon_H4b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H143 ]. % 1.20/1.44 exact (zenon_Hb2 zenon_Hb3). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He5 | zenon_intro zenon_H4c ]. % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 exact (zenon_H4b zenon_H4c). % 1.20/1.44 (* end of lemma zenon_L122_ *) % 1.20/1.44 assert (zenon_L123_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a797))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H66 zenon_H30 zenon_H31. % 1.20/1.44 generalize (zenon_Hf6 (a797)). zenon_intro zenon_H144. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_H11 | zenon_intro zenon_H145 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ]. % 1.20/1.44 exact (zenon_H66 zenon_H6a). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ]. % 1.20/1.44 exact (zenon_H36 zenon_H30). % 1.20/1.44 exact (zenon_H38 zenon_H31). % 1.20/1.44 (* end of lemma zenon_L123_ *) % 1.20/1.44 assert (zenon_L124_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1d zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.20/1.44 generalize (zenon_H1d (a797)). zenon_intro zenon_H6f. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H11 | zenon_intro zenon_H70 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H66 | zenon_intro zenon_H69 ]. % 1.20/1.44 apply (zenon_L123_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 1.20/1.44 exact (zenon_H36 zenon_H30). % 1.20/1.44 exact (zenon_H37 zenon_H32). % 1.20/1.44 (* end of lemma zenon_L124_ *) % 1.20/1.44 assert (zenon_L125_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L28_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L59_); trivial. % 1.20/1.44 apply (zenon_L124_); trivial. % 1.20/1.44 (* end of lemma zenon_L125_ *) % 1.20/1.44 assert (zenon_L126_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H146 zenon_H147 zenon_H148. % 1.20/1.44 generalize (zenon_Hf0 (a808)). zenon_intro zenon_H149. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H149); [ zenon_intro zenon_H11 | zenon_intro zenon_H14a ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 1.20/1.44 exact (zenon_H146 zenon_H14c). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 1.20/1.44 exact (zenon_H147 zenon_H14e). % 1.20/1.44 exact (zenon_H14d zenon_H148). % 1.20/1.44 (* end of lemma zenon_L126_ *) % 1.20/1.44 assert (zenon_L127_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H14f zenon_H12 zenon_H147 zenon_Hf0 zenon_H148. % 1.20/1.44 generalize (zenon_H14f (a808)). zenon_intro zenon_H150. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H11 | zenon_intro zenon_H151 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H14e | zenon_intro zenon_H152 ]. % 1.20/1.44 exact (zenon_H147 zenon_H14e). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H14d ]. % 1.20/1.44 apply (zenon_L126_); trivial. % 1.20/1.44 exact (zenon_H14d zenon_H148). % 1.20/1.44 (* end of lemma zenon_L127_ *) % 1.20/1.44 assert (zenon_L128_ : (~(hskp13)) -> (hskp13) -> False). % 1.20/1.44 do 0 intro. intros zenon_H153 zenon_H154. % 1.20/1.44 exact (zenon_H153 zenon_H154). % 1.20/1.44 (* end of lemma zenon_L128_ *) % 1.20/1.44 assert (zenon_L129_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.20/1.44 apply (zenon_L125_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.20/1.44 apply (zenon_L127_); trivial. % 1.20/1.44 exact (zenon_H153 zenon_H154). % 1.20/1.44 (* end of lemma zenon_L129_ *) % 1.20/1.44 assert (zenon_L130_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H127 zenon_H125 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.20/1.44 apply (zenon_L129_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.20/1.44 apply (zenon_L15_); trivial. % 1.20/1.44 exact (zenon_H125 zenon_H126). % 1.20/1.44 (* end of lemma zenon_L130_ *) % 1.20/1.44 assert (zenon_L131_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L62_); trivial. % 1.20/1.44 apply (zenon_L130_); trivial. % 1.20/1.44 (* end of lemma zenon_L131_ *) % 1.20/1.44 assert (zenon_L132_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L122_); trivial. % 1.20/1.44 apply (zenon_L131_); trivial. % 1.20/1.44 (* end of lemma zenon_L132_ *) % 1.20/1.44 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H102 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.20/1.44 apply (zenon_L129_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.20/1.44 apply (zenon_L87_); trivial. % 1.20/1.44 exact (zenon_H1 zenon_H2). % 1.20/1.44 (* end of lemma zenon_L133_ *) % 1.20/1.44 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_L133_); trivial. % 1.20/1.44 (* end of lemma zenon_L134_ *) % 1.20/1.44 assert (zenon_L135_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H80 zenon_H40 zenon_Hc2 zenon_H102 zenon_H1 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_H55 zenon_H57 zenon_H59 zenon_Hb2 zenon_He4 zenon_H142. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L122_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L26_); trivial. % 1.20/1.44 apply (zenon_L134_); trivial. % 1.20/1.44 (* end of lemma zenon_L135_ *) % 1.20/1.44 assert (zenon_L136_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H157 zenon_H12 zenon_H158 zenon_H159 zenon_H15a. % 1.20/1.44 generalize (zenon_H157 (a814)). zenon_intro zenon_H15b. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H11 | zenon_intro zenon_H15c ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 1.20/1.44 exact (zenon_H158 zenon_H15e). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.20/1.44 exact (zenon_H159 zenon_H160). % 1.20/1.44 exact (zenon_H15f zenon_H15a). % 1.20/1.44 (* end of lemma zenon_L136_ *) % 1.20/1.44 assert (zenon_L137_ : (~(hskp14)) -> (hskp14) -> False). % 1.20/1.44 do 0 intro. intros zenon_H161 zenon_H162. % 1.20/1.44 exact (zenon_H161 zenon_H162). % 1.20/1.44 (* end of lemma zenon_L137_ *) % 1.20/1.44 assert (zenon_L138_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H163 zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H161 zenon_H3. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ]. % 1.20/1.44 apply (zenon_L35_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ]. % 1.20/1.44 exact (zenon_H161 zenon_H162). % 1.20/1.44 exact (zenon_H3 zenon_H4). % 1.20/1.44 (* end of lemma zenon_L138_ *) % 1.20/1.44 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H3 zenon_H161 zenon_H163. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.20/1.44 apply (zenon_L138_); trivial. % 1.20/1.44 apply (zenon_L19_); trivial. % 1.20/1.44 (* end of lemma zenon_L139_ *) % 1.20/1.44 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hec zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L18_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L140_ *) % 1.20/1.44 assert (zenon_L141_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a. % 1.20/1.44 generalize (zenon_Hc3 (a814)). zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H11 | zenon_intro zenon_H168 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H169 | zenon_intro zenon_H15d ]. % 1.20/1.44 generalize (zenon_Hd8 (a814)). zenon_intro zenon_H16a. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H11 | zenon_intro zenon_H16b ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H15e | zenon_intro zenon_H16c ]. % 1.20/1.44 exact (zenon_H158 zenon_H15e). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H160 | zenon_intro zenon_H16d ]. % 1.20/1.44 exact (zenon_H159 zenon_H160). % 1.20/1.44 exact (zenon_H16d zenon_H169). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.20/1.44 exact (zenon_H159 zenon_H160). % 1.20/1.44 exact (zenon_H15f zenon_H15a). % 1.20/1.44 (* end of lemma zenon_L141_ *) % 1.20/1.44 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp14)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H101 zenon_H16e zenon_H161 zenon_H158 zenon_H159 zenon_H15a zenon_H16f zenon_He4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.20/1.44 apply (zenon_L141_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.20/1.44 apply (zenon_L48_); trivial. % 1.20/1.44 exact (zenon_H161 zenon_H162). % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L142_ *) % 1.20/1.44 assert (zenon_L143_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H161 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_Hef. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L27_); trivial. % 1.20/1.44 apply (zenon_L139_); trivial. % 1.20/1.44 apply (zenon_L140_); trivial. % 1.20/1.44 apply (zenon_L142_); trivial. % 1.20/1.44 (* end of lemma zenon_L143_ *) % 1.20/1.44 assert (zenon_L144_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6. % 1.20/1.44 generalize (zenon_Hc3 (a833)). zenon_intro zenon_Hc7. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc8 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 1.20/1.44 exact (zenon_Hc4 zenon_Hca). % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 1.20/1.44 generalize (zenon_H97 (a833)). zenon_intro zenon_H172. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H11 | zenon_intro zenon_H173 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H174 ]. % 1.20/1.44 exact (zenon_Hc5 zenon_Hd0). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd1 ]. % 1.20/1.44 exact (zenon_Hc4 zenon_Hca). % 1.20/1.44 exact (zenon_Hd1 zenon_Hcc). % 1.20/1.44 exact (zenon_Hcb zenon_Hc6). % 1.20/1.44 (* end of lemma zenon_L144_ *) % 1.20/1.44 assert (zenon_L145_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_He4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.20/1.44 apply (zenon_L144_); trivial. % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L145_ *) % 1.20/1.44 assert (zenon_L146_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_He4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.20/1.44 apply (zenon_L64_); trivial. % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L146_ *) % 1.20/1.44 assert (zenon_L147_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Ha0 zenon_H159 zenon_H15a. % 1.20/1.44 generalize (zenon_Hc3 (a814)). zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H11 | zenon_intro zenon_H168 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H169 | zenon_intro zenon_H15d ]. % 1.20/1.44 generalize (zenon_Ha0 (a814)). zenon_intro zenon_H175. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H11 | zenon_intro zenon_H176 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H160 | zenon_intro zenon_H177 ]. % 1.20/1.44 exact (zenon_H159 zenon_H160). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 1.20/1.44 exact (zenon_H15f zenon_H15a). % 1.20/1.44 exact (zenon_H16d zenon_H169). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.20/1.44 exact (zenon_H159 zenon_H160). % 1.20/1.44 exact (zenon_H15f zenon_H15a). % 1.20/1.44 (* end of lemma zenon_L147_ *) % 1.20/1.44 assert (zenon_L148_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_Ha0 zenon_H12 zenon_He4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.20/1.44 apply (zenon_L147_); trivial. % 1.20/1.44 exact (zenon_He4 zenon_He5). % 1.20/1.44 (* end of lemma zenon_L148_ *) % 1.20/1.44 assert (zenon_L149_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H11d zenon_Haa zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_He4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.20/1.44 apply (zenon_L145_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.20/1.44 apply (zenon_L146_); trivial. % 1.20/1.44 apply (zenon_L148_); trivial. % 1.20/1.44 (* end of lemma zenon_L149_ *) % 1.20/1.44 assert (zenon_L150_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H124 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.20/1.44 apply (zenon_L143_); trivial. % 1.20/1.44 apply (zenon_L149_); trivial. % 1.20/1.44 (* end of lemma zenon_L150_ *) % 1.20/1.44 assert (zenon_L151_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hef zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.44 apply (zenon_L76_); trivial. % 1.20/1.44 apply (zenon_L139_); trivial. % 1.20/1.44 apply (zenon_L78_); trivial. % 1.20/1.44 (* end of lemma zenon_L151_ *) % 1.20/1.44 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H135 zenon_H124 zenon_Haa zenon_Hef zenon_H2e zenon_H2a zenon_H8c zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_H16e zenon_H108. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.44 apply (zenon_L151_); trivial. % 1.20/1.44 apply (zenon_L142_); trivial. % 1.20/1.44 apply (zenon_L149_); trivial. % 1.20/1.44 (* end of lemma zenon_L152_ *) % 1.20/1.44 assert (zenon_L153_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H178 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_H40 zenon_Hef. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.20/1.44 apply (zenon_L121_); trivial. % 1.20/1.44 (* end of lemma zenon_L153_ *) % 1.20/1.44 assert (zenon_L154_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H17b zenon_H12 zenon_H17c zenon_H17d zenon_H17e. % 1.20/1.44 generalize (zenon_H17b (a816)). zenon_intro zenon_H17f. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H11 | zenon_intro zenon_H180 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 1.20/1.44 exact (zenon_H17c zenon_H182). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ]. % 1.20/1.44 exact (zenon_H17d zenon_H184). % 1.20/1.44 exact (zenon_H183 zenon_H17e). % 1.20/1.44 (* end of lemma zenon_L154_ *) % 1.20/1.44 assert (zenon_L155_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H8a zenon_H86. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ]. % 1.20/1.44 apply (zenon_L154_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ]. % 1.20/1.44 exact (zenon_H8a zenon_H8b). % 1.20/1.44 exact (zenon_H86 zenon_H87). % 1.20/1.44 (* end of lemma zenon_L155_ *) % 1.20/1.44 assert (zenon_L156_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H187 zenon_H124 zenon_Haa zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H86 zenon_H185. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.20/1.44 apply (zenon_L155_); trivial. % 1.20/1.44 apply (zenon_L149_); trivial. % 1.20/1.44 (* end of lemma zenon_L156_ *) % 1.20/1.44 assert (zenon_L157_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.20/1.44 apply (zenon_L150_); trivial. % 1.20/1.44 apply (zenon_L152_); trivial. % 1.20/1.44 apply (zenon_L153_); trivial. % 1.20/1.44 apply (zenon_L156_); trivial. % 1.20/1.44 (* end of lemma zenon_L157_ *) % 1.20/1.44 assert (zenon_L158_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.20/1.44 apply (zenon_L157_); trivial. % 1.20/1.44 (* end of lemma zenon_L158_ *) % 1.20/1.44 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H109 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.44 apply (zenon_L62_); trivial. % 1.20/1.44 apply (zenon_L105_); trivial. % 1.20/1.44 (* end of lemma zenon_L159_ *) % 1.20/1.44 assert (zenon_L160_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H109 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.44 apply (zenon_L122_); trivial. % 1.20/1.44 apply (zenon_L159_); trivial. % 1.20/1.44 (* end of lemma zenon_L160_ *) % 1.20/1.44 assert (zenon_L161_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H18f zenon_H12 zenon_H190 zenon_H191 zenon_H192. % 1.20/1.44 generalize (zenon_H18f (a807)). zenon_intro zenon_H193. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H11 | zenon_intro zenon_H194 ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 1.20/1.44 exact (zenon_H190 zenon_H196). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 1.20/1.44 exact (zenon_H191 zenon_H198). % 1.20/1.44 exact (zenon_H192 zenon_H197). % 1.20/1.44 (* end of lemma zenon_L161_ *) % 1.20/1.44 assert (zenon_L162_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c0_1 (a838)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1d zenon_H12 zenon_H111 zenon_H199 zenon_H110 zenon_H112. % 1.20/1.44 generalize (zenon_H1d (a838)). zenon_intro zenon_H19a. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H11 | zenon_intro zenon_H19b ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H118 | zenon_intro zenon_H19c ]. % 1.20/1.44 exact (zenon_H118 zenon_H111). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19d | zenon_intro zenon_H117 ]. % 1.20/1.44 generalize (zenon_H199 (a838)). zenon_intro zenon_H19e. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H11 | zenon_intro zenon_H19f ]. % 1.20/1.44 exact (zenon_H11 zenon_H12). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 1.20/1.44 exact (zenon_H19d zenon_H1a1). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 1.20/1.44 exact (zenon_H110 zenon_H116). % 1.20/1.44 exact (zenon_H117 zenon_H112). % 1.20/1.44 exact (zenon_H117 zenon_H112). % 1.20/1.44 (* end of lemma zenon_L162_ *) % 1.20/1.44 assert (zenon_L163_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a838)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H111 zenon_H199 zenon_H110 zenon_H112. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.20/1.44 apply (zenon_L28_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.20/1.44 apply (zenon_L59_); trivial. % 1.20/1.44 apply (zenon_L162_); trivial. % 1.20/1.44 (* end of lemma zenon_L163_ *) % 1.20/1.44 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hbf zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H14 zenon_H15 zenon_H16. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.20/1.44 apply (zenon_L161_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.20/1.44 apply (zenon_L163_); trivial. % 1.20/1.44 apply (zenon_L10_); trivial. % 1.20/1.44 (* end of lemma zenon_L164_ *) % 1.20/1.44 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H16 zenon_H15 zenon_H14 zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_L164_); trivial. % 1.20/1.44 (* end of lemma zenon_L165_ *) % 1.20/1.44 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hec zenon_H80 zenon_Hc2 zenon_H1a2 zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.45 apply (zenon_L122_); trivial. % 1.20/1.45 apply (zenon_L165_); trivial. % 1.20/1.45 (* end of lemma zenon_L166_ *) % 1.20/1.45 assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H121 zenon_Hef zenon_H80 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.45 apply (zenon_L4_); trivial. % 1.20/1.45 apply (zenon_L166_); trivial. % 1.20/1.45 (* end of lemma zenon_L167_ *) % 1.20/1.45 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hef zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H5 zenon_H7 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.20/1.45 apply (zenon_L96_); trivial. % 1.20/1.45 apply (zenon_L167_); trivial. % 1.20/1.45 (* end of lemma zenon_L168_ *) % 1.20/1.45 assert (zenon_L169_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H199 zenon_H12 zenon_H147 zenon_H1a4 zenon_H148. % 1.20/1.45 generalize (zenon_H199 (a808)). zenon_intro zenon_H1a5. % 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a6 ]. % 1.20/1.45 exact (zenon_H11 zenon_H12). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H14e | zenon_intro zenon_H1a7 ]. % 1.20/1.45 exact (zenon_H147 zenon_H14e). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H14d ]. % 1.20/1.45 exact (zenon_H1a4 zenon_H1a8). % 1.20/1.45 exact (zenon_H14d zenon_H148). % 1.20/1.45 (* end of lemma zenon_L169_ *) % 1.20/1.45 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.20/1.45 apply (zenon_L161_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.20/1.45 apply (zenon_L169_); trivial. % 1.20/1.45 apply (zenon_L10_); trivial. % 1.20/1.45 (* end of lemma zenon_L170_ *) % 1.20/1.45 assert (zenon_L171_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1a9 zenon_Hef zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.45 apply (zenon_L4_); trivial. % 1.20/1.45 apply (zenon_L170_); trivial. % 1.20/1.45 (* end of lemma zenon_L171_ *) % 1.20/1.45 assert (zenon_L172_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1ac zenon_H11e zenon_Hef zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H102 zenon_H10b zenon_H50 zenon_H54 zenon_H138. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.20/1.45 apply (zenon_L160_); trivial. % 1.20/1.45 apply (zenon_L167_); trivial. % 1.20/1.45 apply (zenon_L168_); trivial. % 1.20/1.45 apply (zenon_L171_); trivial. % 1.20/1.45 (* end of lemma zenon_L172_ *) % 1.20/1.45 assert (zenon_L173_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.45 apply (zenon_L4_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.20/1.45 apply (zenon_L39_); trivial. % 1.20/1.45 (* end of lemma zenon_L173_ *) % 1.20/1.45 assert (zenon_L174_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_Ha0 zenon_H1ad zenon_H1ae. % 1.20/1.45 generalize (zenon_Hc3 (a806)). zenon_intro zenon_H1af. % 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b0 ]. % 1.20/1.45 exact (zenon_H11 zenon_H12). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ]. % 1.20/1.45 generalize (zenon_Ha0 (a806)). zenon_intro zenon_H1b3. % 1.20/1.45 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b4 ]. % 1.20/1.45 exact (zenon_H11 zenon_H12). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 1.20/1.45 exact (zenon_H1ad zenon_H1b6). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 exact (zenon_H1b8 zenon_H1ae). % 1.20/1.45 exact (zenon_H1b7 zenon_H1b2). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b8 ]. % 1.20/1.45 exact (zenon_H1ad zenon_H1b6). % 1.20/1.45 exact (zenon_H1b8 zenon_H1ae). % 1.20/1.45 (* end of lemma zenon_L174_ *) % 1.20/1.45 assert (zenon_L175_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_Hd2 zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd5 ]. % 1.20/1.45 apply (zenon_L174_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H56 ]. % 1.20/1.45 exact (zenon_Hd2 zenon_Hd3). % 1.20/1.45 exact (zenon_H55 zenon_H56). % 1.20/1.45 (* end of lemma zenon_L175_ *) % 1.20/1.45 assert (zenon_L176_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H81 zenon_H54 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H8e zenon_H8f zenon_H90 zenon_H71 zenon_H7e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.45 apply (zenon_L27_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.45 apply (zenon_L26_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.20/1.45 apply (zenon_L82_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.20/1.45 apply (zenon_L32_); trivial. % 1.20/1.45 apply (zenon_L175_); trivial. % 1.20/1.45 (* end of lemma zenon_L176_ *) % 1.20/1.45 assert (zenon_L177_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H10b zenon_H10d zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H4d zenon_H103 zenon_H71 zenon_H7e zenon_H102 zenon_H80 zenon_H108. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.20/1.45 apply (zenon_L103_); trivial. % 1.20/1.45 (* end of lemma zenon_L177_ *) % 1.20/1.45 assert (zenon_L178_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.45 apply (zenon_L173_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.20/1.45 apply (zenon_L55_); trivial. % 1.20/1.45 apply (zenon_L176_); trivial. % 1.20/1.45 apply (zenon_L177_); trivial. % 1.20/1.45 (* end of lemma zenon_L178_ *) % 1.20/1.45 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H1 zenon_H102 zenon_H80 zenon_H7e zenon_H71 zenon_H55 zenon_H57 zenon_H59 zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_H3c zenon_H133 zenon_H11e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.20/1.45 apply (zenon_L115_); trivial. % 1.20/1.45 (* end of lemma zenon_L179_ *) % 1.20/1.45 assert (zenon_L180_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H161 zenon_H3 zenon_H163 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.20/1.45 apply (zenon_L46_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.20/1.45 apply (zenon_L138_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.20/1.45 apply (zenon_L11_); trivial. % 1.20/1.45 exact (zenon_Hb zenon_Hc). % 1.20/1.45 (* end of lemma zenon_L180_ *) % 1.20/1.45 assert (zenon_L181_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H163 zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H161 zenon_H3. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ]. % 1.20/1.45 apply (zenon_L31_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ]. % 1.20/1.45 exact (zenon_H161 zenon_H162). % 1.20/1.45 exact (zenon_H3 zenon_H4). % 1.20/1.45 (* end of lemma zenon_L181_ *) % 1.20/1.45 assert (zenon_L182_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp24)) -> (~(hskp14)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp8)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H3b zenon_H7e zenon_H3 zenon_H161 zenon_H42 zenon_H43 zenon_H44 zenon_H163 zenon_H55. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L181_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.20/1.45 apply (zenon_L138_); trivial. % 1.20/1.45 exact (zenon_H55 zenon_H56). % 1.20/1.45 (* end of lemma zenon_L182_ *) % 1.20/1.45 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H1bc zenon_H2e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.20/1.45 apply (zenon_L180_); trivial. % 1.20/1.45 apply (zenon_L182_); trivial. % 1.20/1.45 (* end of lemma zenon_L183_ *) % 1.20/1.45 assert (zenon_L184_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.20/1.45 apply (zenon_L27_); trivial. % 1.20/1.45 apply (zenon_L183_); trivial. % 1.20/1.45 (* end of lemma zenon_L184_ *) % 1.20/1.45 assert (zenon_L185_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hef zenon_H2a zenon_H27 zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8a zenon_H8c zenon_H7e zenon_H54. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.20/1.45 apply (zenon_L184_); trivial. % 1.20/1.45 apply (zenon_L140_); trivial. % 1.20/1.45 (* end of lemma zenon_L185_ *) % 1.20/1.45 assert (zenon_L186_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H108 zenon_Hac zenon_Haa zenon_H71 zenon_H86 zenon_H88 zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.20/1.45 apply (zenon_L54_); trivial. % 1.20/1.45 (* end of lemma zenon_L186_ *) % 1.20/1.45 assert (zenon_L187_ : (~(hskp12)) -> (hskp12) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1be zenon_H1bf. % 1.20/1.45 exact (zenon_H1be zenon_H1bf). % 1.20/1.45 (* end of lemma zenon_L187_ *) % 1.20/1.45 assert (zenon_L188_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.20/1.45 apply (zenon_L64_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.20/1.45 apply (zenon_L124_); trivial. % 1.20/1.45 exact (zenon_H1be zenon_H1bf). % 1.20/1.45 (* end of lemma zenon_L188_ *) % 1.20/1.45 assert (zenon_L189_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(hskp12)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H7e zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_H1be zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H55. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.45 apply (zenon_L188_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.28/1.45 apply (zenon_L144_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.28/1.45 apply (zenon_L35_); trivial. % 1.28/1.45 exact (zenon_H1be zenon_H1bf). % 1.28/1.45 exact (zenon_H55 zenon_H56). % 1.28/1.45 (* end of lemma zenon_L189_ *) % 1.28/1.45 assert (zenon_L190_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.28/1.45 apply (zenon_L188_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 exact (zenon_H153 zenon_H154). % 1.28/1.45 (* end of lemma zenon_L190_ *) % 1.28/1.45 assert (zenon_L191_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.28/1.45 apply (zenon_L174_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.28/1.45 apply (zenon_L124_); trivial. % 1.28/1.45 exact (zenon_H1be zenon_H1bf). % 1.28/1.45 (* end of lemma zenon_L191_ *) % 1.28/1.45 assert (zenon_L192_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.28/1.45 apply (zenon_L191_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 exact (zenon_H153 zenon_H154). % 1.28/1.45 (* end of lemma zenon_L192_ *) % 1.28/1.45 assert (zenon_L193_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp8)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Haa zenon_H7e zenon_H42 zenon_H43 zenon_H44 zenon_H55 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.28/1.45 apply (zenon_L189_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 exact (zenon_H153 zenon_H154). % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.45 apply (zenon_L190_); trivial. % 1.28/1.45 apply (zenon_L192_); trivial. % 1.28/1.45 (* end of lemma zenon_L193_ *) % 1.28/1.45 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L26_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.28/1.45 apply (zenon_L193_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.28/1.45 apply (zenon_L101_); trivial. % 1.28/1.45 exact (zenon_H125 zenon_H126). % 1.28/1.45 (* end of lemma zenon_L194_ *) % 1.28/1.45 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L27_); trivial. % 1.28/1.45 apply (zenon_L194_); trivial. % 1.28/1.45 (* end of lemma zenon_L195_ *) % 1.28/1.45 assert (zenon_L196_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1ae zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H71 zenon_Haa zenon_Hac zenon_H108. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L186_); trivial. % 1.28/1.45 apply (zenon_L195_); trivial. % 1.28/1.45 (* end of lemma zenon_L196_ *) % 1.28/1.45 assert (zenon_L197_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1c2 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H5. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.28/1.45 apply (zenon_L72_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.28/1.45 apply (zenon_L11_); trivial. % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 (* end of lemma zenon_L197_ *) % 1.28/1.45 assert (zenon_L198_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1bc zenon_H44 zenon_H43 zenon_H2f zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_Hb. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.28/1.45 apply (zenon_L100_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.28/1.45 apply (zenon_L11_); trivial. % 1.28/1.45 exact (zenon_Hb zenon_Hc). % 1.28/1.45 (* end of lemma zenon_L198_ *) % 1.28/1.45 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H29 zenon_Hea zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_Hb zenon_H43 zenon_H44 zenon_H1bc zenon_He8. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.45 apply (zenon_L197_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.45 apply (zenon_L198_); trivial. % 1.28/1.45 exact (zenon_He8 zenon_He9). % 1.28/1.45 (* end of lemma zenon_L199_ *) % 1.28/1.45 assert (zenon_L200_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_Hb zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.28/1.45 apply (zenon_L46_); trivial. % 1.28/1.45 apply (zenon_L199_); trivial. % 1.28/1.45 (* end of lemma zenon_L200_ *) % 1.28/1.45 assert (zenon_L201_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Haa zenon_H55 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H1e zenon_H1f zenon_H20 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.45 apply (zenon_L51_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.45 apply (zenon_L48_); trivial. % 1.28/1.45 apply (zenon_L192_); trivial. % 1.28/1.45 (* end of lemma zenon_L201_ *) % 1.28/1.45 assert (zenon_L202_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H101 zenon_H54 zenon_H1c4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L76_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L200_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.28/1.45 apply (zenon_L46_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.45 apply (zenon_L201_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.45 apply (zenon_L197_); trivial. % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 (* end of lemma zenon_L202_ *) % 1.28/1.45 assert (zenon_L203_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H108 zenon_H1c4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H1c2 zenon_H1bc zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_H54 zenon_Hef. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.45 apply (zenon_L79_); trivial. % 1.28/1.45 apply (zenon_L202_); trivial. % 1.28/1.45 (* end of lemma zenon_L203_ *) % 1.28/1.45 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_Haa zenon_H125. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.28/1.45 apply (zenon_L193_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.28/1.45 apply (zenon_L15_); trivial. % 1.28/1.45 exact (zenon_H125 zenon_H126). % 1.28/1.45 (* end of lemma zenon_L204_ *) % 1.28/1.45 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L26_); trivial. % 1.28/1.45 apply (zenon_L204_); trivial. % 1.28/1.45 (* end of lemma zenon_L205_ *) % 1.28/1.45 assert (zenon_L206_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H127 zenon_H125 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L203_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L76_); trivial. % 1.28/1.45 apply (zenon_L205_); trivial. % 1.28/1.45 (* end of lemma zenon_L206_ *) % 1.28/1.45 assert (zenon_L207_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H39 zenon_H109 zenon_H10b. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L91_); trivial. % 1.28/1.45 apply (zenon_L17_); trivial. % 1.28/1.45 (* end of lemma zenon_L207_ *) % 1.28/1.45 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L109_); trivial. % 1.28/1.45 apply (zenon_L204_); trivial. % 1.28/1.45 (* end of lemma zenon_L208_ *) % 1.28/1.45 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L207_); trivial. % 1.28/1.45 apply (zenon_L205_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L27_); trivial. % 1.28/1.45 apply (zenon_L208_); trivial. % 1.28/1.45 (* end of lemma zenon_L209_ *) % 1.28/1.45 assert (zenon_L210_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H10b zenon_H1ae zenon_H1ad zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H71 zenon_Haa zenon_Hac zenon_H108. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L186_); trivial. % 1.28/1.45 apply (zenon_L209_); trivial. % 1.28/1.45 (* end of lemma zenon_L210_ *) % 1.28/1.45 assert (zenon_L211_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L155_); trivial. % 1.28/1.45 apply (zenon_L195_); trivial. % 1.28/1.45 (* end of lemma zenon_L211_ *) % 1.28/1.45 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H124 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L203_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_L76_); trivial. % 1.28/1.45 apply (zenon_L194_); trivial. % 1.28/1.45 (* end of lemma zenon_L212_ *) % 1.28/1.45 assert (zenon_L213_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H138 zenon_Hef zenon_H2e zenon_H2a zenon_H8c zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_H71 zenon_H1c4 zenon_H108 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hd2 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.45 apply (zenon_L211_); trivial. % 1.28/1.45 apply (zenon_L212_); trivial. % 1.28/1.45 (* end of lemma zenon_L213_ *) % 1.28/1.45 assert (zenon_L214_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L155_); trivial. % 1.28/1.45 apply (zenon_L209_); trivial. % 1.28/1.45 (* end of lemma zenon_L214_ *) % 1.28/1.45 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H13b zenon_H13a zenon_H139 zenon_H55. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.45 apply (zenon_L66_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.45 apply (zenon_L117_); trivial. % 1.28/1.45 exact (zenon_H55 zenon_H56). % 1.28/1.45 (* end of lemma zenon_L215_ *) % 1.28/1.45 assert (zenon_L216_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L155_); trivial. % 1.28/1.45 apply (zenon_L215_); trivial. % 1.28/1.45 (* end of lemma zenon_L216_ *) % 1.28/1.45 assert (zenon_L217_ : (~(hskp0)) -> (hskp0) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1c6 zenon_H1c7. % 1.28/1.45 exact (zenon_H1c6 zenon_H1c7). % 1.28/1.45 (* end of lemma zenon_L217_ *) % 1.28/1.45 assert (zenon_L218_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp21)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1c8 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1c6 zenon_H109. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1c9 ]. % 1.28/1.45 apply (zenon_L87_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10a ]. % 1.28/1.45 exact (zenon_H1c6 zenon_H1c7). % 1.28/1.45 exact (zenon_H109 zenon_H10a). % 1.28/1.45 (* end of lemma zenon_L218_ *) % 1.28/1.45 assert (zenon_L219_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.45 apply (zenon_L190_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.45 apply (zenon_L117_); trivial. % 1.28/1.45 exact (zenon_H55 zenon_H56). % 1.28/1.45 (* end of lemma zenon_L219_ *) % 1.28/1.45 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H11e zenon_H54 zenon_H127 zenon_H125 zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H1c0 zenon_H1be zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_He6 zenon_He4 zenon_H5 zenon_H1c4 zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.45 apply (zenon_L218_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_L26_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.45 apply (zenon_L219_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.45 apply (zenon_L74_); trivial. % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 apply (zenon_L208_); trivial. % 1.28/1.45 (* end of lemma zenon_L220_ *) % 1.28/1.45 assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He6 zenon_He4 zenon_H5 zenon_H1c4 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H127 zenon_H125 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1ae zenon_Haa zenon_H57 zenon_H59 zenon_H10b zenon_H3c zenon_H40 zenon_H133 zenon_H11e zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.45 apply (zenon_L216_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.45 apply (zenon_L214_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L155_); trivial. % 1.28/1.45 apply (zenon_L220_); trivial. % 1.28/1.45 (* end of lemma zenon_L221_ *) % 1.28/1.45 assert (zenon_L222_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H1cb zenon_H1cc zenon_H1cd. % 1.28/1.45 generalize (zenon_Hf6 (a809)). zenon_intro zenon_H1ce. % 1.28/1.45 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cf ]. % 1.28/1.45 exact (zenon_H11 zenon_H12). % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 1.28/1.45 exact (zenon_H1cb zenon_H1d1). % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 1.28/1.45 exact (zenon_H1d3 zenon_H1cc). % 1.28/1.45 exact (zenon_H1d2 zenon_H1cd). % 1.28/1.45 (* end of lemma zenon_L222_ *) % 1.28/1.45 assert (zenon_L223_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H155 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.28/1.45 apply (zenon_L222_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 exact (zenon_H153 zenon_H154). % 1.28/1.45 (* end of lemma zenon_L223_ *) % 1.28/1.45 assert (zenon_L224_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp4)) -> (~(hskp8)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1d4 zenon_H153 zenon_H12 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_H1 zenon_H55. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1d5 ]. % 1.28/1.45 apply (zenon_L223_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H2 | zenon_intro zenon_H56 ]. % 1.28/1.45 exact (zenon_H1 zenon_H2). % 1.28/1.45 exact (zenon_H55 zenon_H56). % 1.28/1.45 (* end of lemma zenon_L224_ *) % 1.28/1.45 assert (zenon_L225_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1d6 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H161. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ]. % 1.28/1.45 apply (zenon_L222_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ]. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 exact (zenon_H161 zenon_H162). % 1.28/1.45 (* end of lemma zenon_L225_ *) % 1.28/1.45 assert (zenon_L226_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp14)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp4)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H135 zenon_H102 zenon_H161 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d6 zenon_H1. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.28/1.45 apply (zenon_L87_); trivial. % 1.28/1.45 exact (zenon_H1 zenon_H2). % 1.28/1.45 (* end of lemma zenon_L226_ *) % 1.28/1.45 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H86 zenon_H185 zenon_H124 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H57 zenon_H59 zenon_H163 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108 zenon_H1d6 zenon_H102 zenon_H138 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.45 apply (zenon_L224_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.45 apply (zenon_L150_); trivial. % 1.28/1.45 apply (zenon_L226_); trivial. % 1.28/1.45 apply (zenon_L156_); trivial. % 1.28/1.45 (* end of lemma zenon_L227_ *) % 1.28/1.45 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H29 zenon_H163 zenon_H161 zenon_H3. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H1d | zenon_intro zenon_H164 ]. % 1.28/1.45 apply (zenon_L11_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H162 | zenon_intro zenon_H4 ]. % 1.28/1.45 exact (zenon_H161 zenon_H162). % 1.28/1.45 exact (zenon_H3 zenon_H4). % 1.28/1.45 (* end of lemma zenon_L228_ *) % 1.28/1.45 assert (zenon_L229_ : (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1dc zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.28/1.45 generalize (zenon_H1dc (a806)). zenon_intro zenon_H1de. % 1.28/1.45 apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H11 | zenon_intro zenon_H1df ]. % 1.28/1.45 exact (zenon_H11 zenon_H12). % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1e0 ]. % 1.28/1.45 exact (zenon_H1ad zenon_H1b6). % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1b8 ]. % 1.28/1.45 exact (zenon_H1e1 zenon_H1dd). % 1.28/1.45 exact (zenon_H1b8 zenon_H1ae). % 1.28/1.45 (* end of lemma zenon_L229_ *) % 1.28/1.45 assert (zenon_L230_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.28/1.45 apply (zenon_L161_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.28/1.45 apply (zenon_L181_); trivial. % 1.28/1.45 apply (zenon_L229_); trivial. % 1.28/1.45 (* end of lemma zenon_L230_ *) % 1.28/1.45 assert (zenon_L231_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H161 zenon_H3 zenon_H163 zenon_H2e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.28/1.45 apply (zenon_L8_); trivial. % 1.28/1.45 apply (zenon_L228_); trivial. % 1.28/1.45 apply (zenon_L230_); trivial. % 1.28/1.45 (* end of lemma zenon_L231_ *) % 1.28/1.45 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H101 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.28/1.45 apply (zenon_L161_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.28/1.45 apply (zenon_L48_); trivial. % 1.28/1.45 apply (zenon_L229_); trivial. % 1.28/1.45 (* end of lemma zenon_L232_ *) % 1.28/1.45 assert (zenon_L233_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H161 zenon_H163 zenon_H2e zenon_H3c zenon_H2a zenon_H8c zenon_H8a zenon_H54 zenon_Hef. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.45 apply (zenon_L231_); trivial. % 1.28/1.45 apply (zenon_L140_); trivial. % 1.28/1.45 apply (zenon_L232_); trivial. % 1.28/1.45 (* end of lemma zenon_L233_ *) % 1.28/1.45 assert (zenon_L234_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1e4 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H153 zenon_H86. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e5 ]. % 1.28/1.45 apply (zenon_L64_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H154 | zenon_intro zenon_H87 ]. % 1.28/1.45 exact (zenon_H153 zenon_H154). % 1.28/1.45 exact (zenon_H86 zenon_H87). % 1.28/1.45 (* end of lemma zenon_L234_ *) % 1.28/1.45 assert (zenon_L235_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H153 zenon_H1e4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.28/1.45 apply (zenon_L161_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.28/1.45 apply (zenon_L234_); trivial. % 1.28/1.45 apply (zenon_L229_); trivial. % 1.28/1.45 (* end of lemma zenon_L235_ *) % 1.28/1.45 assert (zenon_L236_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.45 apply (zenon_L233_); trivial. % 1.28/1.45 apply (zenon_L235_); trivial. % 1.28/1.45 (* end of lemma zenon_L236_ *) % 1.28/1.45 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp22)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H27 zenon_H111 zenon_H110 zenon_H112 zenon_H2a. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.28/1.45 apply (zenon_L161_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 1.28/1.46 apply (zenon_L10_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 1.28/1.46 apply (zenon_L162_); trivial. % 1.28/1.46 exact (zenon_H27 zenon_H28). % 1.28/1.46 apply (zenon_L10_); trivial. % 1.28/1.46 (* end of lemma zenon_L237_ *) % 1.28/1.46 assert (zenon_L238_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H111 zenon_H110 zenon_H112 zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.46 apply (zenon_L4_); trivial. % 1.28/1.46 apply (zenon_L237_); trivial. % 1.28/1.46 (* end of lemma zenon_L238_ *) % 1.28/1.46 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H121 zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H7 zenon_H5 zenon_H1 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.46 apply (zenon_L238_); trivial. % 1.28/1.46 apply (zenon_L232_); trivial. % 1.28/1.46 (* end of lemma zenon_L239_ *) % 1.28/1.46 assert (zenon_L240_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_L96_); trivial. % 1.28/1.46 apply (zenon_L239_); trivial. % 1.28/1.46 (* end of lemma zenon_L240_ *) % 1.28/1.46 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L155_); trivial. % 1.28/1.46 apply (zenon_L235_); trivial. % 1.28/1.46 (* end of lemma zenon_L241_ *) % 1.28/1.46 assert (zenon_L242_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_Hf zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H10b zenon_H50 zenon_H1a2 zenon_H5 zenon_H7 zenon_H11e zenon_H138 zenon_H16e zenon_He4 zenon_Haa zenon_H1d9. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L236_); trivial. % 1.28/1.46 apply (zenon_L240_); trivial. % 1.28/1.46 apply (zenon_L241_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L233_); trivial. % 1.28/1.46 apply (zenon_L149_); trivial. % 1.28/1.46 apply (zenon_L240_); trivial. % 1.28/1.46 apply (zenon_L156_); trivial. % 1.28/1.46 apply (zenon_L171_); trivial. % 1.28/1.46 (* end of lemma zenon_L242_ *) % 1.28/1.46 assert (zenon_L243_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hc3 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb. % 1.28/1.46 generalize (zenon_Hc3 (a805)). zenon_intro zenon_H1ec. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ed ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ]. % 1.28/1.46 exact (zenon_H1e9 zenon_H1ef). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ]. % 1.28/1.46 exact (zenon_H1ea zenon_H1f1). % 1.28/1.46 exact (zenon_H1f0 zenon_H1eb). % 1.28/1.46 (* end of lemma zenon_L243_ *) % 1.28/1.46 assert (zenon_L244_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1e4 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H12 zenon_H153 zenon_H86. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e5 ]. % 1.28/1.46 apply (zenon_L243_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H154 | zenon_intro zenon_H87 ]. % 1.28/1.46 exact (zenon_H153 zenon_H154). % 1.28/1.46 exact (zenon_H86 zenon_H87). % 1.28/1.46 (* end of lemma zenon_L244_ *) % 1.28/1.46 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H18c zenon_H16e zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.28/1.46 apply (zenon_L136_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.28/1.46 apply (zenon_L243_); trivial. % 1.28/1.46 exact (zenon_He4 zenon_He5). % 1.28/1.46 (* end of lemma zenon_L245_ *) % 1.28/1.46 assert (zenon_L246_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H86 zenon_H1e4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.46 apply (zenon_L244_); trivial. % 1.28/1.46 apply (zenon_L245_); trivial. % 1.28/1.46 (* end of lemma zenon_L246_ *) % 1.28/1.46 assert (zenon_L247_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.46 apply (zenon_L4_); trivial. % 1.28/1.46 apply (zenon_L140_); trivial. % 1.28/1.46 (* end of lemma zenon_L247_ *) % 1.28/1.46 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hbf zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.46 apply (zenon_L48_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.46 apply (zenon_L67_); trivial. % 1.28/1.46 exact (zenon_H55 zenon_H56). % 1.28/1.46 (* end of lemma zenon_L248_ *) % 1.28/1.46 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_H55 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.46 apply (zenon_L58_); trivial. % 1.28/1.46 apply (zenon_L248_); trivial. % 1.28/1.46 (* end of lemma zenon_L249_ *) % 1.28/1.46 assert (zenon_L250_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H90 zenon_H8f zenon_H8e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.46 apply (zenon_L63_); trivial. % 1.28/1.46 apply (zenon_L249_); trivial. % 1.28/1.46 (* end of lemma zenon_L250_ *) % 1.28/1.46 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H101 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.46 apply (zenon_L122_); trivial. % 1.28/1.46 apply (zenon_L250_); trivial. % 1.28/1.46 (* end of lemma zenon_L251_ *) % 1.28/1.46 assert (zenon_L252_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.46 apply (zenon_L122_); trivial. % 1.28/1.46 apply (zenon_L70_); trivial. % 1.28/1.46 (* end of lemma zenon_L252_ *) % 1.28/1.46 assert (zenon_L253_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.46 apply (zenon_L247_); trivial. % 1.28/1.46 apply (zenon_L251_); trivial. % 1.28/1.46 apply (zenon_L252_); trivial. % 1.28/1.46 (* end of lemma zenon_L253_ *) % 1.28/1.46 assert (zenon_L254_ : ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp20)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1f2 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hb2 zenon_H8a. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f3 ]. % 1.28/1.46 apply (zenon_L97_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H8b ]. % 1.28/1.46 exact (zenon_Hb2 zenon_Hb3). % 1.28/1.46 exact (zenon_H8a zenon_H8b). % 1.28/1.46 (* end of lemma zenon_L254_ *) % 1.28/1.46 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp20)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H121 zenon_H1f2 zenon_Hb2 zenon_H8a. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.46 apply (zenon_L254_); trivial. % 1.28/1.46 (* end of lemma zenon_L255_ *) % 1.28/1.46 assert (zenon_L256_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_L96_); trivial. % 1.28/1.46 apply (zenon_L255_); trivial. % 1.28/1.46 (* end of lemma zenon_L256_ *) % 1.28/1.46 assert (zenon_L257_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1d zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.28/1.46 generalize (zenon_H1d (a803)). zenon_intro zenon_H1f7. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 1.28/1.46 generalize (zenon_H97 (a803)). zenon_intro zenon_H1fb. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fc ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 1.28/1.46 exact (zenon_H1fa zenon_H1fe). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 1.28/1.46 exact (zenon_H1f4 zenon_H200). % 1.28/1.46 exact (zenon_H1ff zenon_H1f5). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ]. % 1.28/1.46 exact (zenon_H201 zenon_H1f6). % 1.28/1.46 exact (zenon_H1ff zenon_H1f5). % 1.28/1.46 (* end of lemma zenon_L257_ *) % 1.28/1.46 assert (zenon_L258_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.46 apply (zenon_L28_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.46 apply (zenon_L59_); trivial. % 1.28/1.46 apply (zenon_L257_); trivial. % 1.28/1.46 (* end of lemma zenon_L258_ *) % 1.28/1.46 assert (zenon_L259_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H71 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.28/1.46 apply (zenon_L258_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.28/1.46 apply (zenon_L84_); trivial. % 1.28/1.46 apply (zenon_L86_); trivial. % 1.28/1.46 (* end of lemma zenon_L259_ *) % 1.28/1.46 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_He6 zenon_H5 zenon_H1c4 zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.46 apply (zenon_L122_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.46 apply (zenon_L58_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.46 apply (zenon_L259_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.46 apply (zenon_L74_); trivial. % 1.28/1.46 exact (zenon_H5 zenon_H6). % 1.28/1.46 apply (zenon_L69_); trivial. % 1.28/1.46 (* end of lemma zenon_L260_ *) % 1.28/1.46 assert (zenon_L261_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H202 zenon_H12c zenon_H12b zenon_H12a zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb2 zenon_Hb4. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.46 apply (zenon_L58_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ]. % 1.28/1.46 apply (zenon_L258_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ]. % 1.28/1.46 apply (zenon_L108_); trivial. % 1.28/1.46 exact (zenon_Hb2 zenon_Hb3). % 1.28/1.46 (* end of lemma zenon_L261_ *) % 1.28/1.46 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.46 apply (zenon_L122_); trivial. % 1.28/1.46 apply (zenon_L261_); trivial. % 1.28/1.46 (* end of lemma zenon_L262_ *) % 1.28/1.46 assert (zenon_L263_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H11e zenon_H1f2 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H102 zenon_H1c4 zenon_He6 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_He8 zenon_H103 zenon_H138. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L253_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L256_); trivial. % 1.28/1.46 apply (zenon_L260_); trivial. % 1.28/1.46 apply (zenon_L262_); trivial. % 1.28/1.46 (* end of lemma zenon_L263_ *) % 1.28/1.46 assert (zenon_L264_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H18b zenon_H59 zenon_H57 zenon_H138 zenon_H103 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_He6 zenon_H1c4 zenon_H102 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H1f2 zenon_H11e zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_Hd4 zenon_H124 zenon_H202 zenon_H1ca. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.46 apply (zenon_L263_); trivial. % 1.28/1.46 apply (zenon_L153_); trivial. % 1.28/1.46 (* end of lemma zenon_L264_ *) % 1.28/1.46 assert (zenon_L265_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H138 zenon_H102 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H57 zenon_H59 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L253_); trivial. % 1.28/1.46 apply (zenon_L135_); trivial. % 1.28/1.46 (* end of lemma zenon_L265_ *) % 1.28/1.46 assert (zenon_L266_ : ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp1)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H84 zenon_H86. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H1d | zenon_intro zenon_H89 ]. % 1.28/1.46 apply (zenon_L257_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H85 | zenon_intro zenon_H87 ]. % 1.28/1.46 exact (zenon_H84 zenon_H85). % 1.28/1.46 exact (zenon_H86 zenon_H87). % 1.28/1.46 (* end of lemma zenon_L266_ *) % 1.28/1.46 assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> False). % 1.28/1.46 do 0 intro. intros zenon_Had zenon_Haa zenon_He4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H159 zenon_H15a zenon_H16e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.46 apply (zenon_L145_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.46 apply (zenon_L146_); trivial. % 1.28/1.46 apply (zenon_L52_); trivial. % 1.28/1.46 (* end of lemma zenon_L267_ *) % 1.28/1.46 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11d zenon_Hac zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_Haa. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.46 apply (zenon_L266_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.46 apply (zenon_L146_); trivial. % 1.28/1.46 apply (zenon_L148_); trivial. % 1.28/1.46 apply (zenon_L267_); trivial. % 1.28/1.46 (* end of lemma zenon_L268_ *) % 1.28/1.46 assert (zenon_L269_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hac zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H161 zenon_H165 zenon_H54 zenon_H16f zenon_He4 zenon_H16e zenon_H108. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L143_); trivial. % 1.28/1.46 apply (zenon_L268_); trivial. % 1.28/1.46 (* end of lemma zenon_L269_ *) % 1.28/1.46 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_Hac zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_Haa zenon_H86 zenon_H185. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L155_); trivial. % 1.28/1.46 apply (zenon_L268_); trivial. % 1.28/1.46 (* end of lemma zenon_L270_ *) % 1.28/1.46 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H138 zenon_Hea zenon_He6 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hac zenon_H124 zenon_H7e zenon_H1 zenon_H5 zenon_H7 zenon_H18b. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L269_); trivial. % 1.28/1.46 apply (zenon_L152_); trivial. % 1.28/1.46 apply (zenon_L153_); trivial. % 1.28/1.46 apply (zenon_L270_); trivial. % 1.28/1.46 (* end of lemma zenon_L271_ *) % 1.28/1.46 assert (zenon_L272_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H39 zenon_H109 zenon_H10b. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.46 apply (zenon_L91_); trivial. % 1.28/1.46 apply (zenon_L118_); trivial. % 1.28/1.46 (* end of lemma zenon_L272_ *) % 1.28/1.46 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H109 zenon_H2a zenon_H27 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.46 apply (zenon_L272_); trivial. % 1.28/1.46 apply (zenon_L77_); trivial. % 1.28/1.46 (* end of lemma zenon_L273_ *) % 1.28/1.46 assert (zenon_L274_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H109 zenon_H2a zenon_H27 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.46 apply (zenon_L4_); trivial. % 1.28/1.46 apply (zenon_L273_); trivial. % 1.28/1.46 (* end of lemma zenon_L274_ *) % 1.28/1.46 assert (zenon_L275_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hb2 zenon_Hef zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H10b zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.46 apply (zenon_L274_); trivial. % 1.28/1.46 apply (zenon_L120_); trivial. % 1.28/1.46 apply (zenon_L255_); trivial. % 1.28/1.46 (* end of lemma zenon_L275_ *) % 1.28/1.46 assert (zenon_L276_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H10b zenon_H8c zenon_H2e zenon_H54 zenon_Hef zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L275_); trivial. % 1.28/1.46 apply (zenon_L215_); trivial. % 1.28/1.46 (* end of lemma zenon_L276_ *) % 1.28/1.46 assert (zenon_L277_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H80 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_He4 zenon_H142 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_Hd4 zenon_H124. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.46 apply (zenon_L276_); trivial. % 1.28/1.46 apply (zenon_L262_); trivial. % 1.28/1.46 (* end of lemma zenon_L277_ *) % 1.28/1.46 assert (zenon_L278_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H1ca zenon_H202 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H11e zenon_H1f2 zenon_H50 zenon_H10b zenon_H10d zenon_H102 zenon_H1c4 zenon_He6 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_H103 zenon_H138 zenon_H18b. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.46 apply (zenon_L263_); trivial. % 1.28/1.46 apply (zenon_L277_); trivial. % 1.28/1.46 apply (zenon_L171_); trivial. % 1.28/1.46 (* end of lemma zenon_L278_ *) % 1.28/1.46 assert (zenon_L279_ : (forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H204 zenon_H12 zenon_H1f4 zenon_H1f6 zenon_H1f5. % 1.28/1.46 generalize (zenon_H204 (a803)). zenon_intro zenon_H205. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H200 | zenon_intro zenon_H1f9 ]. % 1.28/1.46 exact (zenon_H1f4 zenon_H200). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ]. % 1.28/1.46 exact (zenon_H201 zenon_H1f6). % 1.28/1.46 exact (zenon_H1ff zenon_H1f5). % 1.28/1.46 (* end of lemma zenon_L279_ *) % 1.28/1.46 assert (zenon_L280_ : (~(hskp6)) -> (hskp6) -> False). % 1.28/1.46 do 0 intro. intros zenon_H207 zenon_H208. % 1.28/1.46 exact (zenon_H207 zenon_H208). % 1.28/1.46 (* end of lemma zenon_L280_ *) % 1.28/1.46 assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H81 zenon_H209 zenon_H4d zenon_H109 zenon_H10d zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.28/1.46 apply (zenon_L94_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.28/1.46 apply (zenon_L279_); trivial. % 1.28/1.46 exact (zenon_H207 zenon_H208). % 1.28/1.46 (* end of lemma zenon_L281_ *) % 1.28/1.46 assert (zenon_L282_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.46 apply (zenon_L55_); trivial. % 1.28/1.46 apply (zenon_L281_); trivial. % 1.28/1.46 (* end of lemma zenon_L282_ *) % 1.28/1.46 assert (zenon_L283_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H7e zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_L282_); trivial. % 1.28/1.46 apply (zenon_L112_); trivial. % 1.28/1.46 (* end of lemma zenon_L283_ *) % 1.28/1.46 assert (zenon_L284_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108 zenon_H133 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H1ca. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.46 apply (zenon_L178_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L283_); trivial. % 1.28/1.46 apply (zenon_L114_); trivial. % 1.28/1.46 apply (zenon_L153_); trivial. % 1.28/1.46 (* end of lemma zenon_L284_ *) % 1.28/1.46 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H101 zenon_H54 zenon_H2e zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H7e zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.46 apply (zenon_L27_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.46 apply (zenon_L26_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.28/1.46 apply (zenon_L46_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.28/1.46 apply (zenon_L201_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.28/1.46 apply (zenon_L279_); trivial. % 1.28/1.46 exact (zenon_H207 zenon_H208). % 1.28/1.46 (* end of lemma zenon_L285_ *) % 1.28/1.46 assert (zenon_L286_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H1be. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.28/1.46 apply (zenon_L144_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.28/1.46 apply (zenon_L257_); trivial. % 1.28/1.46 exact (zenon_H1be zenon_H1bf). % 1.28/1.46 (* end of lemma zenon_L286_ *) % 1.28/1.46 assert (zenon_L287_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.46 do 0 intro. intros zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.46 apply (zenon_L286_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.46 apply (zenon_L190_); trivial. % 1.28/1.46 apply (zenon_L192_); trivial. % 1.28/1.46 (* end of lemma zenon_L287_ *) % 1.28/1.46 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11d zenon_H40 zenon_H209 zenon_H207 zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.46 apply (zenon_L26_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.28/1.46 apply (zenon_L287_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.28/1.46 apply (zenon_L279_); trivial. % 1.28/1.46 exact (zenon_H207 zenon_H208). % 1.28/1.46 (* end of lemma zenon_L288_ *) % 1.28/1.46 assert (zenon_L289_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H124 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H108. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.46 apply (zenon_L185_); trivial. % 1.28/1.46 apply (zenon_L285_); trivial. % 1.28/1.46 apply (zenon_L288_); trivial. % 1.28/1.46 (* end of lemma zenon_L289_ *) % 1.28/1.46 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H187 zenon_H124 zenon_H40 zenon_H209 zenon_H207 zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H86 zenon_H185. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L155_); trivial. % 1.28/1.46 apply (zenon_L288_); trivial. % 1.28/1.46 (* end of lemma zenon_L290_ *) % 1.28/1.46 assert (zenon_L291_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H102 zenon_H1d4 zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_He6 zenon_He4 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H1c2 zenon_H1c4 zenon_H108 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H71 zenon_H155 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Haa zenon_H54 zenon_H7e zenon_H8c zenon_H163 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef zenon_H124 zenon_H18b zenon_Hac zenon_H88 zenon_H165 zenon_H16f zenon_H16e zenon_H1d9. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L289_); trivial. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L203_); trivial. % 1.28/1.46 apply (zenon_L288_); trivial. % 1.28/1.46 apply (zenon_L153_); trivial. % 1.28/1.46 apply (zenon_L290_); trivial. % 1.28/1.46 apply (zenon_L271_); trivial. % 1.28/1.46 apply (zenon_L227_); trivial. % 1.28/1.46 (* end of lemma zenon_L291_ *) % 1.28/1.46 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H16e zenon_He4 zenon_H86 zenon_H1e4. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.28/1.46 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.28/1.46 apply (zenon_L246_); trivial. % 1.28/1.46 (* end of lemma zenon_L292_ *) % 1.28/1.46 assert (zenon_L293_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_L160_); trivial. % 1.28/1.46 apply (zenon_L255_); trivial. % 1.28/1.46 (* end of lemma zenon_L293_ *) % 1.28/1.46 assert (zenon_L294_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H3c zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.46 apply (zenon_L293_); trivial. % 1.28/1.46 apply (zenon_L252_); trivial. % 1.28/1.46 (* end of lemma zenon_L294_ *) % 1.28/1.46 assert (zenon_L295_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_He8 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.46 apply (zenon_L294_); trivial. % 1.28/1.46 apply (zenon_L177_); trivial. % 1.28/1.46 (* end of lemma zenon_L295_ *) % 1.28/1.46 assert (zenon_L296_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.46 do 0 intro. intros zenon_H11e zenon_H7e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.46 apply (zenon_L160_); trivial. % 1.28/1.46 apply (zenon_L112_); trivial. % 1.28/1.46 (* end of lemma zenon_L296_ *) % 1.28/1.46 assert (zenon_L297_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a802))) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (c2_1 (a802)) -> False). % 1.28/1.46 do 0 intro. intros zenon_Hd8 zenon_H12 zenon_H20f zenon_H5b zenon_H210. % 1.28/1.46 generalize (zenon_Hd8 (a802)). zenon_intro zenon_H211. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H11 | zenon_intro zenon_H212 ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H214 | zenon_intro zenon_H213 ]. % 1.28/1.46 exact (zenon_H20f zenon_H214). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 1.28/1.46 generalize (zenon_H5b (a802)). zenon_intro zenon_H217. % 1.28/1.46 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H11 | zenon_intro zenon_H218 ]. % 1.28/1.46 exact (zenon_H11 zenon_H12). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H214 | zenon_intro zenon_H219 ]. % 1.28/1.46 exact (zenon_H20f zenon_H214). % 1.28/1.46 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H215 | zenon_intro zenon_H21a ]. % 1.28/1.46 exact (zenon_H215 zenon_H210). % 1.28/1.46 exact (zenon_H21a zenon_H216). % 1.28/1.46 exact (zenon_H215 zenon_H210). % 1.28/1.46 (* end of lemma zenon_L297_ *) % 1.28/1.46 assert (zenon_L298_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.28/1.46 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.46 apply (zenon_L297_); trivial. % 1.28/1.46 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.46 apply (zenon_L34_); trivial. % 1.28/1.46 apply (zenon_L35_); trivial. % 1.28/1.46 (* end of lemma zenon_L298_ *) % 1.28/1.46 assert (zenon_L299_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H7e zenon_H27 zenon_H30 zenon_H32 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.47 apply (zenon_L116_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.47 apply (zenon_L298_); trivial. % 1.28/1.47 exact (zenon_H55 zenon_H56). % 1.28/1.47 (* end of lemma zenon_L299_ *) % 1.28/1.47 assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H5c zenon_H5e zenon_H5d zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L299_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L85_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.47 apply (zenon_L299_); trivial. % 1.28/1.47 exact (zenon_H5 zenon_H6). % 1.28/1.47 (* end of lemma zenon_L300_ *) % 1.28/1.47 assert (zenon_L301_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H27 zenon_H2a zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.47 apply (zenon_L4_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.47 apply (zenon_L80_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L76_); trivial. % 1.28/1.47 apply (zenon_L300_); trivial. % 1.28/1.47 (* end of lemma zenon_L301_ *) % 1.28/1.47 assert (zenon_L302_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H12 zenon_H65 zenon_H30 zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.47 apply (zenon_L297_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.47 apply (zenon_L30_); trivial. % 1.28/1.47 apply (zenon_L31_); trivial. % 1.28/1.47 (* end of lemma zenon_L302_ *) % 1.28/1.47 assert (zenon_L303_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a840)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_H8e zenon_H97 zenon_H90 zenon_H71 zenon_H55. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.28/1.47 apply (zenon_L302_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.28/1.47 apply (zenon_L81_); trivial. % 1.28/1.47 exact (zenon_H55 zenon_H56). % 1.28/1.47 (* end of lemma zenon_L303_ *) % 1.28/1.47 assert (zenon_L304_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a840))) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H97 zenon_H12 zenon_H8e zenon_H2f zenon_H8f zenon_H90. % 1.28/1.47 generalize (zenon_H97 (a840)). zenon_intro zenon_H9c. % 1.28/1.47 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ]. % 1.28/1.47 exact (zenon_H11 zenon_H12). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ]. % 1.28/1.47 exact (zenon_H8e zenon_H94). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H95 ]. % 1.28/1.47 generalize (zenon_H2f (a840)). zenon_intro zenon_H21b. % 1.28/1.47 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H11 | zenon_intro zenon_H21c ]. % 1.28/1.47 exact (zenon_H11 zenon_H12). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H96 | zenon_intro zenon_H9a ]. % 1.28/1.47 exact (zenon_H96 zenon_H8f). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9b | zenon_intro zenon_H95 ]. % 1.28/1.47 exact (zenon_H9b zenon_H9f). % 1.28/1.47 exact (zenon_H95 zenon_H90). % 1.28/1.47 exact (zenon_H95 zenon_H90). % 1.28/1.47 (* end of lemma zenon_L304_ *) % 1.28/1.47 assert (zenon_L305_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(hskp15)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hea zenon_H55 zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H97 zenon_He8. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L303_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L304_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L305_ *) % 1.28/1.47 assert (zenon_L306_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hf6 zenon_H12 zenon_H6b zenon_H30 zenon_H31. % 1.28/1.47 generalize (zenon_Hf6 (a797)). zenon_intro zenon_H144. % 1.28/1.47 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_H11 | zenon_intro zenon_H145 ]. % 1.28/1.47 exact (zenon_H11 zenon_H12). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ]. % 1.28/1.47 generalize (zenon_H6b (a797)). zenon_intro zenon_H6c. % 1.28/1.47 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H11 | zenon_intro zenon_H6d ]. % 1.28/1.47 exact (zenon_H11 zenon_H12). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H6e ]. % 1.28/1.47 exact (zenon_H66 zenon_H6a). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ]. % 1.28/1.47 exact (zenon_H36 zenon_H30). % 1.28/1.47 exact (zenon_H38 zenon_H31). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ]. % 1.28/1.47 exact (zenon_H36 zenon_H30). % 1.28/1.47 exact (zenon_H38 zenon_H31). % 1.28/1.47 (* end of lemma zenon_L306_ *) % 1.28/1.47 assert (zenon_L307_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.47 apply (zenon_L297_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.47 apply (zenon_L306_); trivial. % 1.28/1.47 apply (zenon_L124_); trivial. % 1.28/1.47 (* end of lemma zenon_L307_ *) % 1.28/1.47 assert (zenon_L308_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H103 zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_H32 zenon_H31 zenon_H30 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.28/1.47 apply (zenon_L303_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.28/1.47 apply (zenon_L307_); trivial. % 1.28/1.47 apply (zenon_L72_); trivial. % 1.28/1.47 (* end of lemma zenon_L308_ *) % 1.28/1.47 assert (zenon_L309_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H21d zenon_H1be zenon_H103 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H7 zenon_H5 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.47 apply (zenon_L96_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_L301_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L76_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L109_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.28/1.47 apply (zenon_L305_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.28/1.47 apply (zenon_L308_); trivial. % 1.28/1.47 exact (zenon_H1be zenon_H1bf). % 1.28/1.47 (* end of lemma zenon_L309_ *) % 1.28/1.47 assert (zenon_L310_ : (~(hskp18)) -> (hskp18) -> False). % 1.28/1.47 do 0 intro. intros zenon_H21f zenon_H220. % 1.28/1.47 exact (zenon_H21f zenon_H220). % 1.28/1.47 (* end of lemma zenon_L310_ *) % 1.28/1.47 assert (zenon_L311_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> (~(hskp18)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H221 zenon_H32 zenon_H30 zenon_H12 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H161 zenon_H21f. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H65 | zenon_intro zenon_H222 ]. % 1.28/1.47 apply (zenon_L302_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ]. % 1.28/1.47 exact (zenon_H161 zenon_H162). % 1.28/1.47 exact (zenon_H21f zenon_H220). % 1.28/1.47 (* end of lemma zenon_L311_ *) % 1.28/1.47 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp14)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H16f zenon_H21f zenon_H71 zenon_H210 zenon_H20f zenon_H221 zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H161. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.28/1.47 apply (zenon_L311_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.28/1.47 apply (zenon_L116_); trivial. % 1.28/1.47 exact (zenon_H161 zenon_H162). % 1.28/1.47 (* end of lemma zenon_L312_ *) % 1.28/1.47 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hec zenon_H40 zenon_H16f zenon_H27 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_L312_); trivial. % 1.28/1.47 (* end of lemma zenon_L313_ *) % 1.28/1.47 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H101 zenon_H40 zenon_H16f zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.28/1.47 apply (zenon_L311_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.28/1.47 apply (zenon_L48_); trivial. % 1.28/1.47 exact (zenon_H161 zenon_H162). % 1.28/1.47 (* end of lemma zenon_L314_ *) % 1.28/1.47 assert (zenon_L315_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp18)) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H21f zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.47 apply (zenon_L4_); trivial. % 1.28/1.47 apply (zenon_L313_); trivial. % 1.28/1.47 apply (zenon_L314_); trivial. % 1.28/1.47 (* end of lemma zenon_L315_ *) % 1.28/1.47 assert (zenon_L316_ : (forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H223 zenon_H12 zenon_H224 zenon_H225 zenon_H226. % 1.28/1.47 generalize (zenon_H223 (a828)). zenon_intro zenon_H227. % 1.28/1.47 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H11 | zenon_intro zenon_H228 ]. % 1.28/1.47 exact (zenon_H11 zenon_H12). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 1.28/1.47 exact (zenon_H224 zenon_H22a). % 1.28/1.47 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 1.28/1.47 exact (zenon_H225 zenon_H22c). % 1.28/1.47 exact (zenon_H226 zenon_H22b). % 1.28/1.47 (* end of lemma zenon_L316_ *) % 1.28/1.47 assert (zenon_L317_ : (~(hskp2)) -> (hskp2) -> False). % 1.28/1.47 do 0 intro. intros zenon_H22d zenon_H22e. % 1.28/1.47 exact (zenon_H22d zenon_H22e). % 1.28/1.47 (* end of lemma zenon_L317_ *) % 1.28/1.47 assert (zenon_L318_ : ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c3_1 (a828))) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp2)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H22f zenon_H226 zenon_H225 zenon_H224 zenon_H12 zenon_H8a zenon_H22d. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H223 | zenon_intro zenon_H230 ]. % 1.28/1.47 apply (zenon_L316_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H8b | zenon_intro zenon_H22e ]. % 1.28/1.47 exact (zenon_H8a zenon_H8b). % 1.28/1.47 exact (zenon_H22d zenon_H22e). % 1.28/1.47 (* end of lemma zenon_L318_ *) % 1.28/1.47 assert (zenon_L319_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.28/1.47 apply (zenon_L222_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.28/1.47 apply (zenon_L144_); trivial. % 1.28/1.47 apply (zenon_L108_); trivial. % 1.28/1.47 (* end of lemma zenon_L319_ *) % 1.28/1.47 assert (zenon_L320_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L72_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L15_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L320_ *) % 1.28/1.47 assert (zenon_L321_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H103 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hea zenon_Hd9 zenon_Hd7 zenon_He8. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.28/1.47 apply (zenon_L319_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.28/1.47 apply (zenon_L222_); trivial. % 1.28/1.47 apply (zenon_L320_); trivial. % 1.28/1.47 (* end of lemma zenon_L321_ *) % 1.28/1.47 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_L321_); trivial. % 1.28/1.47 (* end of lemma zenon_L322_ *) % 1.28/1.47 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H103 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.47 apply (zenon_L318_); trivial. % 1.28/1.47 apply (zenon_L322_); trivial. % 1.28/1.47 (* end of lemma zenon_L323_ *) % 1.28/1.47 assert (zenon_L324_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L44_); trivial. % 1.28/1.47 apply (zenon_L110_); trivial. % 1.28/1.47 (* end of lemma zenon_L324_ *) % 1.28/1.47 assert (zenon_L325_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_Hb0. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17b | zenon_intro zenon_H234 ]. % 1.28/1.47 apply (zenon_L154_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb1 ]. % 1.28/1.47 apply (zenon_L64_); trivial. % 1.28/1.47 exact (zenon_Hb0 zenon_Hb1). % 1.28/1.47 (* end of lemma zenon_L325_ *) % 1.28/1.47 assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_Had zenon_H80 zenon_Hc2 zenon_H7e zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.47 apply (zenon_L55_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L27_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.47 apply (zenon_L82_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.47 apply (zenon_L325_); trivial. % 1.28/1.47 apply (zenon_L52_); trivial. % 1.28/1.47 apply (zenon_L248_); trivial. % 1.28/1.47 (* end of lemma zenon_L326_ *) % 1.28/1.47 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H121 zenon_H108 zenon_Hac zenon_Hc2 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H71 zenon_H7e zenon_H80 zenon_Hef. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_L173_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.47 apply (zenon_L55_); trivial. % 1.28/1.47 apply (zenon_L324_); trivial. % 1.28/1.47 apply (zenon_L326_); trivial. % 1.28/1.47 (* end of lemma zenon_L327_ *) % 1.28/1.47 assert (zenon_L328_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H124 zenon_H108 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H2a zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_Hef zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H4d zenon_H10d zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.47 apply (zenon_L293_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.28/1.47 apply (zenon_L160_); trivial. % 1.28/1.47 apply (zenon_L327_); trivial. % 1.28/1.47 (* end of lemma zenon_L328_ *) % 1.28/1.47 assert (zenon_L329_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H18b zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H1ca. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.47 apply (zenon_L295_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.47 apply (zenon_L328_); trivial. % 1.28/1.47 apply (zenon_L114_); trivial. % 1.28/1.47 apply (zenon_L153_); trivial. % 1.28/1.47 (* end of lemma zenon_L329_ *) % 1.28/1.47 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H119 zenon_H10b zenon_Hef zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_He6 zenon_Hea zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H103 zenon_H102 zenon_H108 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_Hac zenon_H233 zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H1ca. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.47 apply (zenon_L329_); trivial. % 1.28/1.47 (* end of lemma zenon_L330_ *) % 1.28/1.47 assert (zenon_L331_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.28/1.47 apply (zenon_L307_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.28/1.47 apply (zenon_L127_); trivial. % 1.28/1.47 exact (zenon_H153 zenon_H154). % 1.28/1.47 (* end of lemma zenon_L331_ *) % 1.28/1.47 assert (zenon_L332_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_H125. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.28/1.47 apply (zenon_L331_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.28/1.47 apply (zenon_L15_); trivial. % 1.28/1.47 exact (zenon_H125 zenon_H126). % 1.28/1.47 (* end of lemma zenon_L332_ *) % 1.28/1.47 assert (zenon_L333_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L332_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L15_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L333_ *) % 1.28/1.47 assert (zenon_L334_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp24)) -> (ndr1_0) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H16f zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H155 zenon_H3 zenon_H12 zenon_H30 zenon_H32 zenon_H163 zenon_H161. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.28/1.47 apply (zenon_L331_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.28/1.47 apply (zenon_L181_); trivial. % 1.28/1.47 exact (zenon_H161 zenon_H162). % 1.28/1.47 (* end of lemma zenon_L334_ *) % 1.28/1.47 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H161 zenon_H163 zenon_H3 zenon_H16f zenon_H125 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.47 apply (zenon_L334_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.47 apply (zenon_L332_); trivial. % 1.28/1.47 exact (zenon_H5 zenon_H6). % 1.28/1.47 (* end of lemma zenon_L335_ *) % 1.28/1.47 assert (zenon_L336_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H18b zenon_H108 zenon_H1c4 zenon_H5 zenon_H163 zenon_H161 zenon_H16f zenon_H2a zenon_H7e zenon_Hef zenon_H59 zenon_H57 zenon_H55 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hea zenon_H40. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.47 apply (zenon_L333_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_L335_); trivial. % 1.28/1.47 apply (zenon_L119_); trivial. % 1.28/1.47 apply (zenon_L120_); trivial. % 1.28/1.47 (* end of lemma zenon_L336_ *) % 1.28/1.47 assert (zenon_L337_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.28/1.47 apply (zenon_L219_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.28/1.47 apply (zenon_L332_); trivial. % 1.28/1.47 exact (zenon_H5 zenon_H6). % 1.28/1.47 (* end of lemma zenon_L337_ *) % 1.28/1.47 assert (zenon_L338_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H18a zenon_H124 zenon_H1be zenon_H1c0 zenon_H86 zenon_H185 zenon_H40 zenon_Hea zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.47 apply (zenon_L336_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.47 apply (zenon_L333_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.47 apply (zenon_L155_); trivial. % 1.28/1.47 apply (zenon_L337_); trivial. % 1.28/1.47 (* end of lemma zenon_L338_ *) % 1.28/1.47 assert (zenon_L339_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H102 zenon_H1d4 zenon_H18a zenon_H124 zenon_H1c0 zenon_H86 zenon_H185 zenon_H40 zenon_Hea zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b zenon_H7 zenon_H1 zenon_Haa zenon_H8c zenon_H2e zenon_Hf zenon_H3c zenon_H165 zenon_H54 zenon_He4 zenon_H16e zenon_He6 zenon_H138 zenon_H1d9. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.47 apply (zenon_L338_); trivial. % 1.28/1.47 apply (zenon_L158_); trivial. % 1.28/1.47 apply (zenon_L227_); trivial. % 1.28/1.47 (* end of lemma zenon_L339_ *) % 1.28/1.47 assert (zenon_L340_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L27_); trivial. % 1.28/1.47 apply (zenon_L300_); trivial. % 1.28/1.47 (* end of lemma zenon_L340_ *) % 1.28/1.47 assert (zenon_L341_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.47 apply (zenon_L4_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.47 apply (zenon_L23_); trivial. % 1.28/1.47 apply (zenon_L340_); trivial. % 1.28/1.47 (* end of lemma zenon_L341_ *) % 1.28/1.47 assert (zenon_L342_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.47 apply (zenon_L297_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.28/1.47 apply (zenon_L34_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.28/1.47 apply (zenon_L11_); trivial. % 1.28/1.47 exact (zenon_Hb zenon_Hc). % 1.28/1.47 apply (zenon_L11_); trivial. % 1.28/1.47 (* end of lemma zenon_L342_ *) % 1.28/1.47 assert (zenon_L343_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H44 zenon_H43 zenon_H42 zenon_H71 zenon_Hb zenon_Hd zenon_Hf. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.28/1.47 apply (zenon_L8_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L342_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L198_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L343_ *) % 1.28/1.47 assert (zenon_L344_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Haa zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.47 apply (zenon_L303_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.47 apply (zenon_L48_); trivial. % 1.28/1.47 apply (zenon_L175_); trivial. % 1.28/1.47 (* end of lemma zenon_L344_ *) % 1.28/1.47 assert (zenon_L345_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(hskp15)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Hea zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_H20f zenon_H210 zenon_H44 zenon_H43 zenon_H42 zenon_H71 zenon_Haa zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H97 zenon_He8. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L344_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L304_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L345_ *) % 1.28/1.47 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_Had zenon_H54 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H153 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H8f zenon_H90 zenon_H8e zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.28/1.47 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L27_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L343_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.47 apply (zenon_L345_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.47 apply (zenon_L234_); trivial. % 1.28/1.47 apply (zenon_L52_); trivial. % 1.28/1.47 (* end of lemma zenon_L346_ *) % 1.28/1.47 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H11d zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_L301_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L76_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L26_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.47 apply (zenon_L308_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.47 apply (zenon_L101_); trivial. % 1.28/1.47 exact (zenon_He8 zenon_He9). % 1.28/1.47 (* end of lemma zenon_L347_ *) % 1.28/1.47 assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H135 zenon_H124 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.47 apply (zenon_L318_); trivial. % 1.28/1.47 apply (zenon_L347_); trivial. % 1.28/1.47 (* end of lemma zenon_L348_ *) % 1.28/1.47 assert (zenon_L349_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H235 zenon_H138 zenon_H103 zenon_He6 zenon_He4 zenon_H22f zenon_H22d zenon_H80 zenon_H1c4 zenon_H7e zenon_He8 zenon_Hea zenon_H3c zenon_Hf zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H1bc zenon_H88 zenon_H86 zenon_H1e4 zenon_H153 zenon_Hac zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.28/1.47 apply (zenon_L315_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.47 apply (zenon_L318_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_L341_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.47 apply (zenon_L55_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L44_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L343_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.47 apply (zenon_L345_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.47 apply (zenon_L32_); trivial. % 1.28/1.47 apply (zenon_L175_); trivial. % 1.28/1.47 apply (zenon_L346_); trivial. % 1.28/1.47 apply (zenon_L348_); trivial. % 1.28/1.47 (* end of lemma zenon_L349_ *) % 1.28/1.47 assert (zenon_L350_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.28/1.47 do 0 intro. intros zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.28/1.47 apply (zenon_L191_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.28/1.47 apply (zenon_L174_); trivial. % 1.28/1.47 apply (zenon_L108_); trivial. % 1.28/1.47 (* end of lemma zenon_L350_ *) % 1.28/1.47 assert (zenon_L351_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.28/1.47 do 0 intro. intros zenon_Haa zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.47 apply (zenon_L303_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.47 apply (zenon_L302_); trivial. % 1.28/1.47 apply (zenon_L350_); trivial. % 1.28/1.47 (* end of lemma zenon_L351_ *) % 1.28/1.47 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H101 zenon_H54 zenon_H21d zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.47 apply (zenon_L27_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.47 apply (zenon_L343_); trivial. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.28/1.47 apply (zenon_L305_); trivial. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.28/1.47 apply (zenon_L351_); trivial. % 1.28/1.47 exact (zenon_H1be zenon_H1bf). % 1.28/1.47 (* end of lemma zenon_L352_ *) % 1.28/1.47 assert (zenon_L353_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H108 zenon_H21d zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H1bc zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.47 apply (zenon_L341_); trivial. % 1.28/1.47 apply (zenon_L352_); trivial. % 1.28/1.47 (* end of lemma zenon_L353_ *) % 1.28/1.47 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.47 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H103 zenon_H133 zenon_He6 zenon_He4 zenon_H10b zenon_H10d zenon_H102 zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H231 zenon_H21d zenon_H108. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.47 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.47 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.47 apply (zenon_L353_); trivial. % 1.28/1.47 apply (zenon_L309_); trivial. % 1.28/1.47 (* end of lemma zenon_L354_ *) % 1.28/1.47 assert (zenon_L355_ : (~(hskp15)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.28/1.48 do 0 intro. intros zenon_He8 zenon_H8e zenon_H8f zenon_H90 zenon_Haa zenon_H71 zenon_H42 zenon_H43 zenon_H44 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H7e zenon_Hea zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.48 apply (zenon_L345_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.48 apply (zenon_L325_); trivial. % 1.28/1.48 apply (zenon_L175_); trivial. % 1.28/1.48 (* end of lemma zenon_L355_ *) % 1.28/1.48 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a840))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H7e zenon_H8e zenon_H90 zenon_H8f zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.28/1.48 apply (zenon_L27_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.48 apply (zenon_L343_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.48 apply (zenon_L355_); trivial. % 1.28/1.48 apply (zenon_L68_); trivial. % 1.28/1.48 (* end of lemma zenon_L356_ *) % 1.28/1.48 assert (zenon_L357_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H124 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H103 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H7e zenon_H1c4 zenon_H80 zenon_Hef zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L155_); trivial. % 1.28/1.48 apply (zenon_L347_); trivial. % 1.28/1.48 (* end of lemma zenon_L357_ *) % 1.28/1.48 assert (zenon_L358_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_He6 zenon_He4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Hef zenon_H80 zenon_H1c4 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H233 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H108 zenon_H124. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L155_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.48 apply (zenon_L341_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.28/1.48 apply (zenon_L55_); trivial. % 1.28/1.48 apply (zenon_L356_); trivial. % 1.28/1.48 apply (zenon_L357_); trivial. % 1.28/1.48 (* end of lemma zenon_L358_ *) % 1.28/1.48 assert (zenon_L359_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H124 zenon_Haa zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H22d zenon_H22f. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L318_); trivial. % 1.28/1.48 apply (zenon_L149_); trivial. % 1.28/1.48 (* end of lemma zenon_L359_ *) % 1.28/1.48 assert (zenon_L360_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H22f zenon_H22d zenon_H16e zenon_He4 zenon_Haa zenon_H124 zenon_H235. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.28/1.48 apply (zenon_L315_); trivial. % 1.28/1.48 apply (zenon_L359_); trivial. % 1.28/1.48 apply (zenon_L156_); trivial. % 1.28/1.48 (* end of lemma zenon_L360_ *) % 1.28/1.48 assert (zenon_L361_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.28/1.48 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.28/1.48 apply (zenon_L222_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.28/1.48 apply (zenon_L174_); trivial. % 1.28/1.48 apply (zenon_L108_); trivial. % 1.28/1.48 (* end of lemma zenon_L361_ *) % 1.28/1.48 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_Hec zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.48 apply (zenon_L14_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.48 apply (zenon_L319_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.48 apply (zenon_L116_); trivial. % 1.28/1.48 apply (zenon_L361_); trivial. % 1.28/1.48 (* end of lemma zenon_L362_ *) % 1.28/1.48 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H11d zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Haa zenon_H40 zenon_Hef. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.28/1.48 apply (zenon_L4_); trivial. % 1.28/1.48 apply (zenon_L362_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.28/1.48 apply (zenon_L319_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.28/1.48 apply (zenon_L48_); trivial. % 1.28/1.48 apply (zenon_L361_); trivial. % 1.28/1.48 (* end of lemma zenon_L363_ *) % 1.28/1.48 assert (zenon_L364_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H124 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Haa zenon_H40 zenon_Hef zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L318_); trivial. % 1.28/1.48 apply (zenon_L363_); trivial. % 1.28/1.48 (* end of lemma zenon_L364_ *) % 1.28/1.48 assert (zenon_L365_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H22f zenon_H22d zenon_Hef zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hf zenon_H2a zenon_H2e zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H124. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.48 apply (zenon_L364_); trivial. % 1.28/1.48 apply (zenon_L323_); trivial. % 1.28/1.48 (* end of lemma zenon_L365_ *) % 1.28/1.48 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H22f zenon_H22d zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_Hf zenon_H2e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.28/1.48 apply (zenon_L315_); trivial. % 1.28/1.48 apply (zenon_L365_); trivial. % 1.28/1.48 (* end of lemma zenon_L366_ *) % 1.28/1.48 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H103 zenon_He8 zenon_Hea zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L155_); trivial. % 1.28/1.48 apply (zenon_L322_); trivial. % 1.28/1.48 (* end of lemma zenon_L367_ *) % 1.28/1.48 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H103 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hef zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_Hf zenon_H2a zenon_H2e zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H124. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L155_); trivial. % 1.28/1.48 apply (zenon_L363_); trivial. % 1.28/1.48 apply (zenon_L367_); trivial. % 1.28/1.48 (* end of lemma zenon_L368_ *) % 1.28/1.48 assert (zenon_L369_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H20b zenon_H18a zenon_H185 zenon_H233 zenon_Hc2 zenon_H1ca zenon_H11e zenon_H133 zenon_H10b zenon_H10d zenon_H102 zenon_H1c0 zenon_H231 zenon_H21d zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H124 zenon_Hac zenon_H1e4 zenon_H86 zenon_H88 zenon_H1bc zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_Hf zenon_H3c zenon_Hea zenon_H7e zenon_H1c4 zenon_H80 zenon_H22d zenon_H22f zenon_He4 zenon_He6 zenon_H103 zenon_H138 zenon_H235 zenon_H18b zenon_H16e zenon_H1d9. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.48 apply (zenon_L349_); trivial. % 1.28/1.48 apply (zenon_L354_); trivial. % 1.28/1.48 apply (zenon_L153_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.48 apply (zenon_L358_); trivial. % 1.28/1.48 apply (zenon_L354_); trivial. % 1.28/1.48 apply (zenon_L153_); trivial. % 1.28/1.48 apply (zenon_L360_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.48 apply (zenon_L349_); trivial. % 1.28/1.48 apply (zenon_L366_); trivial. % 1.28/1.48 apply (zenon_L153_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.28/1.48 apply (zenon_L358_); trivial. % 1.28/1.48 apply (zenon_L368_); trivial. % 1.28/1.48 apply (zenon_L153_); trivial. % 1.28/1.48 apply (zenon_L360_); trivial. % 1.28/1.48 (* end of lemma zenon_L369_ *) % 1.28/1.48 assert (zenon_L370_ : ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (~(c3_1 (a828))) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.28/1.48 do 0 intro. intros zenon_H239 zenon_H226 zenon_H225 zenon_H224 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_Hd. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H223 | zenon_intro zenon_H23a ]. % 1.28/1.48 apply (zenon_L316_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H204 | zenon_intro zenon_He ]. % 1.28/1.48 apply (zenon_L279_); trivial. % 1.28/1.48 exact (zenon_Hd zenon_He). % 1.28/1.48 (* end of lemma zenon_L370_ *) % 1.28/1.48 assert (zenon_L371_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp29)) -> (~(hskp9)) -> False). % 1.28/1.48 do 0 intro. intros zenon_Hb4 zenon_H210 zenon_H20f zenon_H12 zenon_Hd8 zenon_Hb0 zenon_Hb2. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 1.28/1.48 apply (zenon_L297_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ]. % 1.28/1.48 exact (zenon_Hb0 zenon_Hb1). % 1.28/1.48 exact (zenon_Hb2 zenon_Hb3). % 1.28/1.48 (* end of lemma zenon_L371_ *) % 1.28/1.48 assert (zenon_L372_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.28/1.48 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.48 apply (zenon_L371_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.48 apply (zenon_L15_); trivial. % 1.28/1.48 exact (zenon_He8 zenon_He9). % 1.28/1.48 (* end of lemma zenon_L372_ *) % 1.28/1.48 assert (zenon_L373_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.28/1.48 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.28/1.48 apply (zenon_L297_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.28/1.48 apply (zenon_L59_); trivial. % 1.28/1.48 apply (zenon_L257_); trivial. % 1.28/1.48 (* end of lemma zenon_L373_ *) % 1.28/1.48 assert (zenon_L374_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.28/1.48 do 0 intro. intros zenon_Hea zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.48 apply (zenon_L373_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.48 apply (zenon_L15_); trivial. % 1.28/1.48 exact (zenon_He8 zenon_He9). % 1.28/1.48 (* end of lemma zenon_L374_ *) % 1.28/1.48 assert (zenon_L375_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.28/1.48 do 0 intro. intros zenon_Hea zenon_Hf6 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.28/1.48 apply (zenon_L307_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.28/1.48 apply (zenon_L15_); trivial. % 1.28/1.48 exact (zenon_He8 zenon_He9). % 1.28/1.48 (* end of lemma zenon_L375_ *) % 1.28/1.48 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.28/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.28/1.48 apply (zenon_L372_); trivial. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.28/1.48 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.28/1.48 apply (zenon_L374_); trivial. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.28/1.48 apply (zenon_L375_); trivial. % 1.28/1.48 apply (zenon_L320_); trivial. % 1.28/1.48 (* end of lemma zenon_L376_ *) % 1.28/1.48 assert (zenon_L377_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H135 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.28/1.48 apply (zenon_L26_); trivial. % 1.28/1.48 apply (zenon_L376_); trivial. % 1.28/1.48 (* end of lemma zenon_L377_ *) % 1.28/1.48 assert (zenon_L378_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H236 zenon_H138 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.28/1.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.28/1.48 apply (zenon_L370_); trivial. % 1.28/1.48 apply (zenon_L377_); trivial. % 1.28/1.48 (* end of lemma zenon_L378_ *) % 1.28/1.48 assert (zenon_L379_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H18b zenon_H7e zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hea zenon_Hb2 zenon_Hb4 zenon_H103 zenon_Hc2 zenon_H138 zenon_H235. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.28/1.48 apply (zenon_L315_); trivial. % 1.28/1.48 apply (zenon_L378_); trivial. % 1.28/1.48 apply (zenon_L153_); trivial. % 1.28/1.48 (* end of lemma zenon_L379_ *) % 1.28/1.48 assert (zenon_L380_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.28/1.48 do 0 intro. intros zenon_H124 zenon_H80 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.28/1.48 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.28/1.48 apply (zenon_L155_); trivial. % 1.28/1.48 apply (zenon_L252_); trivial. % 1.28/1.48 (* end of lemma zenon_L380_ *) % 1.28/1.48 assert (zenon_L381_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H80 zenon_H124. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.48 apply (zenon_L380_); trivial. % 1.33/1.48 apply (zenon_L377_); trivial. % 1.33/1.48 (* end of lemma zenon_L381_ *) % 1.33/1.48 assert (zenon_L382_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.48 apply (zenon_L44_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L343_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.48 apply (zenon_L266_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.48 apply (zenon_L266_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.48 apply (zenon_L302_); trivial. % 1.33/1.48 apply (zenon_L175_); trivial. % 1.33/1.48 exact (zenon_H1be zenon_H1bf). % 1.33/1.48 (* end of lemma zenon_L382_ *) % 1.33/1.48 assert (zenon_L383_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H23b zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.33/1.48 apply (zenon_L331_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.33/1.48 apply (zenon_L279_); trivial. % 1.33/1.48 apply (zenon_L229_); trivial. % 1.33/1.48 (* end of lemma zenon_L383_ *) % 1.33/1.48 assert (zenon_L384_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hd8 zenon_H12 zenon_H6b zenon_Ha2 zenon_Ha3 zenon_Ha1. % 1.33/1.48 generalize (zenon_Hd8 (a865)). zenon_intro zenon_H23d. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_H11 | zenon_intro zenon_H23e ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ]. % 1.33/1.48 generalize (zenon_H6b (a865)). zenon_intro zenon_H241. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_H11 | zenon_intro zenon_H242 ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H243 | zenon_intro zenon_Ha6 ]. % 1.33/1.48 exact (zenon_H243 zenon_H240). % 1.33/1.48 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 1.33/1.48 exact (zenon_Ha9 zenon_Ha2). % 1.33/1.48 exact (zenon_Ha8 zenon_Ha3). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 1.33/1.48 exact (zenon_Ha1 zenon_Ha7). % 1.33/1.48 exact (zenon_Ha8 zenon_Ha3). % 1.33/1.48 (* end of lemma zenon_L384_ *) % 1.33/1.48 assert (zenon_L385_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.33/1.48 apply (zenon_L297_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.33/1.48 apply (zenon_L384_); trivial. % 1.33/1.48 apply (zenon_L257_); trivial. % 1.33/1.48 (* end of lemma zenon_L385_ *) % 1.33/1.48 assert (zenon_L386_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.33/1.48 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.48 apply (zenon_L385_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.48 apply (zenon_L302_); trivial. % 1.33/1.48 apply (zenon_L52_); trivial. % 1.33/1.48 (* end of lemma zenon_L386_ *) % 1.33/1.48 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Had zenon_H54 zenon_H1c4 zenon_H5 zenon_Haa zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.48 apply (zenon_L27_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L343_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.33/1.48 apply (zenon_L383_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.33/1.48 apply (zenon_L386_); trivial. % 1.33/1.48 exact (zenon_H5 zenon_H6). % 1.33/1.48 (* end of lemma zenon_L387_ *) % 1.33/1.48 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H3b zenon_H103 zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_Hd9 zenon_Hd7 zenon_He8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.33/1.48 apply (zenon_L266_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.33/1.48 apply (zenon_L375_); trivial. % 1.33/1.48 apply (zenon_L320_); trivial. % 1.33/1.48 (* end of lemma zenon_L388_ *) % 1.33/1.48 assert (zenon_L389_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H23b zenon_H97 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.33/1.48 apply (zenon_L385_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.33/1.48 apply (zenon_L279_); trivial. % 1.33/1.48 apply (zenon_L229_); trivial. % 1.33/1.48 (* end of lemma zenon_L389_ *) % 1.33/1.48 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Had zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L26_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.33/1.48 apply (zenon_L389_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.33/1.48 apply (zenon_L375_); trivial. % 1.33/1.48 apply (zenon_L320_); trivial. % 1.33/1.48 (* end of lemma zenon_L390_ *) % 1.33/1.48 assert (zenon_L391_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H135 zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H40. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L26_); trivial. % 1.33/1.48 apply (zenon_L388_); trivial. % 1.33/1.48 apply (zenon_L390_); trivial. % 1.33/1.48 (* end of lemma zenon_L391_ *) % 1.33/1.48 assert (zenon_L392_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H57 zenon_H59 zenon_H23b zenon_H1dd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5 zenon_H1c4 zenon_Hac. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.48 apply (zenon_L382_); trivial. % 1.33/1.48 apply (zenon_L387_); trivial. % 1.33/1.48 apply (zenon_L391_); trivial. % 1.33/1.48 (* end of lemma zenon_L392_ *) % 1.33/1.48 assert (zenon_L393_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H27. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 1.33/1.48 apply (zenon_L10_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 1.33/1.48 apply (zenon_L124_); trivial. % 1.33/1.48 exact (zenon_H27 zenon_H28). % 1.33/1.48 (* end of lemma zenon_L393_ *) % 1.33/1.48 assert (zenon_L394_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp22)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H155 zenon_H27 zenon_H30 zenon_H31 zenon_H32 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.48 apply (zenon_L393_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.48 apply (zenon_L127_); trivial. % 1.33/1.48 exact (zenon_H153 zenon_H154). % 1.33/1.48 (* end of lemma zenon_L394_ *) % 1.33/1.48 assert (zenon_L395_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hef zenon_H54 zenon_H1c4 zenon_H7e zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.48 apply (zenon_L4_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.48 apply (zenon_L27_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L343_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.33/1.48 apply (zenon_L394_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.33/1.48 apply (zenon_L299_); trivial. % 1.33/1.48 exact (zenon_H5 zenon_H6). % 1.33/1.48 (* end of lemma zenon_L395_ *) % 1.33/1.48 assert (zenon_L396_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hf0 zenon_H12 zenon_H244 zenon_H245 zenon_H246. % 1.33/1.48 generalize (zenon_Hf0 (a800)). zenon_intro zenon_H247. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H11 | zenon_intro zenon_H248 ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24a | zenon_intro zenon_H249 ]. % 1.33/1.48 exact (zenon_H244 zenon_H24a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 1.33/1.48 exact (zenon_H245 zenon_H24c). % 1.33/1.48 exact (zenon_H24b zenon_H246). % 1.33/1.48 (* end of lemma zenon_L396_ *) % 1.33/1.48 assert (zenon_L397_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp8)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1d4 zenon_H246 zenon_H245 zenon_H244 zenon_H12 zenon_H1 zenon_H55. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1d5 ]. % 1.33/1.48 apply (zenon_L396_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H2 | zenon_intro zenon_H56 ]. % 1.33/1.48 exact (zenon_H1 zenon_H2). % 1.33/1.48 exact (zenon_H55 zenon_H56). % 1.33/1.48 (* end of lemma zenon_L397_ *) % 1.33/1.48 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H29 zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.33/1.48 apply (zenon_L11_); trivial. % 1.33/1.48 exact (zenon_H1be zenon_H1bf). % 1.33/1.48 (* end of lemma zenon_L398_ *) % 1.33/1.48 assert (zenon_L399_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H1be. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.33/1.48 apply (zenon_L35_); trivial. % 1.33/1.48 exact (zenon_H1be zenon_H1bf). % 1.33/1.48 (* end of lemma zenon_L399_ *) % 1.33/1.48 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp12)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp28)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H1be zenon_H42 zenon_H43 zenon_H44 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_Hb. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.33/1.48 apply (zenon_L399_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.33/1.48 apply (zenon_L11_); trivial. % 1.33/1.48 exact (zenon_Hb zenon_Hc). % 1.33/1.48 (* end of lemma zenon_L400_ *) % 1.33/1.48 assert (zenon_L401_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H42 zenon_H43 zenon_H44 zenon_H1be zenon_H1c0 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_L400_); trivial. % 1.33/1.48 (* end of lemma zenon_L401_ *) % 1.33/1.48 assert (zenon_L402_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.33/1.48 apply (zenon_L124_); trivial. % 1.33/1.48 exact (zenon_H1be zenon_H1bf). % 1.33/1.48 (* end of lemma zenon_L402_ *) % 1.33/1.48 assert (zenon_L403_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H157 zenon_H12 zenon_H129 zenon_H1e9 zenon_H1eb zenon_H1ea. % 1.33/1.48 generalize (zenon_H157 (a805)). zenon_intro zenon_H24d. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H24d); [ zenon_intro zenon_H11 | zenon_intro zenon_H24e ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_H1ee ]. % 1.33/1.48 generalize (zenon_H129 (a805)). zenon_intro zenon_H250. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ef | zenon_intro zenon_H252 ]. % 1.33/1.48 exact (zenon_H1e9 zenon_H1ef). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H1f0 ]. % 1.33/1.48 exact (zenon_H253 zenon_H24f). % 1.33/1.48 exact (zenon_H1f0 zenon_H1eb). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ]. % 1.33/1.48 exact (zenon_H1ea zenon_H1f1). % 1.33/1.48 exact (zenon_H1f0 zenon_H1eb). % 1.33/1.48 (* end of lemma zenon_L403_ *) % 1.33/1.48 assert (zenon_L404_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H157 zenon_H12 zenon_H1e9 zenon_H1eb zenon_H1ea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.33/1.48 apply (zenon_L402_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_L403_); trivial. % 1.33/1.48 (* end of lemma zenon_L404_ *) % 1.33/1.48 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H3b zenon_H165 zenon_H231 zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H42 zenon_H43 zenon_H44. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.48 apply (zenon_L404_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.48 apply (zenon_L399_); trivial. % 1.33/1.48 apply (zenon_L19_); trivial. % 1.33/1.48 (* end of lemma zenon_L405_ *) % 1.33/1.48 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H231 zenon_Hf zenon_Hd zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1bc zenon_H2e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_L401_); trivial. % 1.33/1.48 apply (zenon_L405_); trivial. % 1.33/1.48 (* end of lemma zenon_L406_ *) % 1.33/1.48 assert (zenon_L407_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_L398_); trivial. % 1.33/1.48 apply (zenon_L17_); trivial. % 1.33/1.48 apply (zenon_L406_); trivial. % 1.33/1.48 (* end of lemma zenon_L407_ *) % 1.33/1.48 assert (zenon_L408_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H135 zenon_H102 zenon_H246 zenon_H245 zenon_H244 zenon_H1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.33/1.48 apply (zenon_L396_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.33/1.48 apply (zenon_L87_); trivial. % 1.33/1.48 exact (zenon_H1 zenon_H2). % 1.33/1.48 (* end of lemma zenon_L408_ *) % 1.33/1.48 assert (zenon_L409_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H246 zenon_H245 zenon_H244 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.48 apply (zenon_L407_); trivial. % 1.33/1.48 apply (zenon_L408_); trivial. % 1.33/1.48 (* end of lemma zenon_L409_ *) % 1.33/1.48 assert (zenon_L410_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H157 zenon_H12 zenon_H1e9 zenon_H1eb zenon_H1ea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.33/1.48 apply (zenon_L222_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_L403_); trivial. % 1.33/1.48 (* end of lemma zenon_L410_ *) % 1.33/1.48 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1d8 zenon_H16e zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.33/1.48 apply (zenon_L410_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 exact (zenon_He4 zenon_He5). % 1.33/1.48 (* end of lemma zenon_L411_ *) % 1.33/1.48 assert (zenon_L412_ : ((ndr1_0)/\((c3_1 (a800))/\((~(c0_1 (a800)))/\(~(c1_1 (a800)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H254 zenon_H255 zenon_H20b zenon_H16e zenon_He4 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H102 zenon_H138 zenon_H1 zenon_H1d4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.33/1.48 apply (zenon_L397_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.48 apply (zenon_L409_); trivial. % 1.33/1.48 apply (zenon_L411_); trivial. % 1.33/1.48 (* end of lemma zenon_L412_ *) % 1.33/1.48 assert (zenon_L413_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a799)) -> (c2_1 (a799)) -> (c3_1 (a799)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H41 zenon_H12 zenon_H258 zenon_H259 zenon_H25a. % 1.33/1.48 generalize (zenon_H41 (a799)). zenon_intro zenon_H25b. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H11 | zenon_intro zenon_H25c ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ]. % 1.33/1.48 exact (zenon_H25e zenon_H258). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 1.33/1.48 exact (zenon_H260 zenon_H259). % 1.33/1.48 exact (zenon_H25f zenon_H25a). % 1.33/1.48 (* end of lemma zenon_L413_ *) % 1.33/1.48 assert (zenon_L414_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H10f zenon_H12 zenon_H41 zenon_H258 zenon_H25a. % 1.33/1.48 generalize (zenon_H10f (a799)). zenon_intro zenon_H261. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H11 | zenon_intro zenon_H262 ]. % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H259 | zenon_intro zenon_H263 ]. % 1.33/1.48 apply (zenon_L413_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ]. % 1.33/1.48 exact (zenon_H25e zenon_H258). % 1.33/1.48 exact (zenon_H25f zenon_H25a). % 1.33/1.48 (* end of lemma zenon_L414_ *) % 1.33/1.48 assert (zenon_L415_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (~(hskp30)) -> (~(hskp20)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_H10f zenon_H9 zenon_H8a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ]. % 1.33/1.48 apply (zenon_L414_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 exact (zenon_H9 zenon_Ha). % 1.33/1.48 exact (zenon_H8a zenon_H8b). % 1.33/1.48 (* end of lemma zenon_L415_ *) % 1.33/1.48 assert (zenon_L416_ : ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp30)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> (~(hskp20)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1f2 zenon_H9 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_Hb2 zenon_H8a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f3 ]. % 1.33/1.48 apply (zenon_L415_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H8b ]. % 1.33/1.48 exact (zenon_Hb2 zenon_Hb3). % 1.33/1.48 exact (zenon_H8a zenon_H8b). % 1.33/1.48 (* end of lemma zenon_L416_ *) % 1.33/1.48 assert (zenon_L417_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb2 zenon_Hb4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.33/1.48 apply (zenon_L58_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.48 apply (zenon_L416_); trivial. % 1.33/1.48 apply (zenon_L60_); trivial. % 1.33/1.48 (* end of lemma zenon_L417_ *) % 1.33/1.48 assert (zenon_L418_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.48 apply (zenon_L122_); trivial. % 1.33/1.48 apply (zenon_L417_); trivial. % 1.33/1.48 (* end of lemma zenon_L418_ *) % 1.33/1.48 assert (zenon_L419_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L418_); trivial. % 1.33/1.49 apply (zenon_L252_); trivial. % 1.33/1.49 (* end of lemma zenon_L419_ *) % 1.33/1.49 assert (zenon_L420_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H14f zenon_H12 zenon_H264 zenon_H258 zenon_H25a. % 1.33/1.49 generalize (zenon_H14f (a799)). zenon_intro zenon_H265. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H265); [ zenon_intro zenon_H11 | zenon_intro zenon_H266 ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H267 | zenon_intro zenon_H263 ]. % 1.33/1.49 exact (zenon_H264 zenon_H267). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ]. % 1.33/1.49 exact (zenon_H25e zenon_H258). % 1.33/1.49 exact (zenon_H25f zenon_H25a). % 1.33/1.49 (* end of lemma zenon_L420_ *) % 1.33/1.49 assert (zenon_L421_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.49 apply (zenon_L84_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 exact (zenon_H153 zenon_H154). % 1.33/1.49 (* end of lemma zenon_L421_ *) % 1.33/1.49 assert (zenon_L422_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1c4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.33/1.49 apply (zenon_L421_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.33/1.49 apply (zenon_L74_); trivial. % 1.33/1.49 exact (zenon_H5 zenon_H6). % 1.33/1.49 (* end of lemma zenon_L422_ *) % 1.33/1.49 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H155 zenon_H153 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L418_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L122_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_L422_); trivial. % 1.33/1.49 apply (zenon_L69_); trivial. % 1.33/1.49 (* end of lemma zenon_L423_ *) % 1.33/1.49 assert (zenon_L424_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H138 zenon_H155 zenon_H153 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_L419_); trivial. % 1.33/1.49 apply (zenon_L423_); trivial. % 1.33/1.49 (* end of lemma zenon_L424_ *) % 1.33/1.49 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hbf zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H25a zenon_H258 zenon_H264 zenon_H153. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.49 apply (zenon_L125_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 exact (zenon_H153 zenon_H154). % 1.33/1.49 (* end of lemma zenon_L425_ *) % 1.33/1.49 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H71 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.33/1.49 apply (zenon_L58_); trivial. % 1.33/1.49 apply (zenon_L425_); trivial. % 1.33/1.49 (* end of lemma zenon_L426_ *) % 1.33/1.49 assert (zenon_L427_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L62_); trivial. % 1.33/1.49 apply (zenon_L426_); trivial. % 1.33/1.49 (* end of lemma zenon_L427_ *) % 1.33/1.49 assert (zenon_L428_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L122_); trivial. % 1.33/1.49 apply (zenon_L427_); trivial. % 1.33/1.49 (* end of lemma zenon_L428_ *) % 1.33/1.49 assert (zenon_L429_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H54 zenon_H40 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H5 zenon_H1c4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_L422_); trivial. % 1.33/1.49 apply (zenon_L110_); trivial. % 1.33/1.49 (* end of lemma zenon_L429_ *) % 1.33/1.49 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H11e zenon_H80 zenon_H54 zenon_H40 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c6 zenon_H1c8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.49 apply (zenon_L218_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L122_); trivial. % 1.33/1.49 apply (zenon_L429_); trivial. % 1.33/1.49 (* end of lemma zenon_L430_ *) % 1.33/1.49 assert (zenon_L431_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H153 zenon_H155 zenon_H138. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.49 apply (zenon_L424_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_L428_); trivial. % 1.33/1.49 apply (zenon_L430_); trivial. % 1.33/1.49 (* end of lemma zenon_L431_ *) % 1.33/1.49 assert (zenon_L432_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H10f zenon_H12 zenon_H73 zenon_H264 zenon_H25a zenon_H258. % 1.33/1.49 generalize (zenon_H10f (a799)). zenon_intro zenon_H261. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H11 | zenon_intro zenon_H262 ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H259 | zenon_intro zenon_H263 ]. % 1.33/1.49 generalize (zenon_H73 (a799)). zenon_intro zenon_H268. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H11 | zenon_intro zenon_H269 ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H267 | zenon_intro zenon_H25d ]. % 1.33/1.49 exact (zenon_H264 zenon_H267). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 1.33/1.49 exact (zenon_H260 zenon_H259). % 1.33/1.49 exact (zenon_H25f zenon_H25a). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25e | zenon_intro zenon_H25f ]. % 1.33/1.49 exact (zenon_H25e zenon_H258). % 1.33/1.49 exact (zenon_H25f zenon_H25a). % 1.33/1.49 (* end of lemma zenon_L432_ *) % 1.33/1.49 assert (zenon_L433_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.33/1.49 apply (zenon_L141_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.33/1.49 apply (zenon_L432_); trivial. % 1.33/1.49 apply (zenon_L320_); trivial. % 1.33/1.49 (* end of lemma zenon_L433_ *) % 1.33/1.49 assert (zenon_L434_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.49 apply (zenon_L48_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.49 apply (zenon_L433_); trivial. % 1.33/1.49 exact (zenon_H55 zenon_H56). % 1.33/1.49 (* end of lemma zenon_L434_ *) % 1.33/1.49 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.49 apply (zenon_L434_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.49 apply (zenon_L15_); trivial. % 1.33/1.49 exact (zenon_He8 zenon_He9). % 1.33/1.49 (* end of lemma zenon_L435_ *) % 1.33/1.49 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H101 zenon_H40 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L26_); trivial. % 1.33/1.49 apply (zenon_L435_); trivial. % 1.33/1.49 (* end of lemma zenon_L436_ *) % 1.33/1.49 assert (zenon_L437_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H108 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H54 zenon_H165 zenon_H161 zenon_H163 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H8c zenon_H8a zenon_H2a zenon_H2e zenon_Hef. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.49 apply (zenon_L151_); trivial. % 1.33/1.49 apply (zenon_L436_); trivial. % 1.33/1.49 (* end of lemma zenon_L437_ *) % 1.33/1.49 assert (zenon_L438_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17b zenon_H12 zenon_H264 zenon_H41 zenon_H258 zenon_H25a. % 1.33/1.49 generalize (zenon_H17b (a799)). zenon_intro zenon_H26a. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H11 | zenon_intro zenon_H26b ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H267 | zenon_intro zenon_H26c ]. % 1.33/1.49 exact (zenon_H264 zenon_H267). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H25e ]. % 1.33/1.49 apply (zenon_L413_); trivial. % 1.33/1.49 exact (zenon_H25e zenon_H258). % 1.33/1.49 (* end of lemma zenon_L438_ *) % 1.33/1.49 assert (zenon_L439_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H185 zenon_H25a zenon_H258 zenon_H41 zenon_H264 zenon_H12 zenon_H8a zenon_H86. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ]. % 1.33/1.49 apply (zenon_L438_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ]. % 1.33/1.49 exact (zenon_H8a zenon_H8b). % 1.33/1.49 exact (zenon_H86 zenon_H87). % 1.33/1.49 (* end of lemma zenon_L439_ *) % 1.33/1.49 assert (zenon_L440_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H185 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H8a zenon_H86. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.49 apply (zenon_L136_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.49 apply (zenon_L117_); trivial. % 1.33/1.49 apply (zenon_L439_); trivial. % 1.33/1.49 (* end of lemma zenon_L440_ *) % 1.33/1.49 assert (zenon_L441_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L440_); trivial. % 1.33/1.49 apply (zenon_L215_); trivial. % 1.33/1.49 (* end of lemma zenon_L441_ *) % 1.33/1.49 assert (zenon_L442_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H41 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.33/1.49 generalize (zenon_H41 (a797)). zenon_intro zenon_H26d. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H66 | zenon_intro zenon_H35 ]. % 1.33/1.49 apply (zenon_L123_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 1.33/1.49 exact (zenon_H38 zenon_H31). % 1.33/1.49 exact (zenon_H37 zenon_H32). % 1.33/1.49 (* end of lemma zenon_L442_ *) % 1.33/1.49 assert (zenon_L443_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.49 apply (zenon_L136_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.49 apply (zenon_L117_); trivial. % 1.33/1.49 apply (zenon_L442_); trivial. % 1.33/1.49 (* end of lemma zenon_L443_ *) % 1.33/1.49 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12a zenon_H12b zenon_H12c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.33/1.49 apply (zenon_L443_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.49 apply (zenon_L64_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.49 apply (zenon_L117_); trivial. % 1.33/1.49 exact (zenon_H55 zenon_H56). % 1.33/1.49 apply (zenon_L108_); trivial. % 1.33/1.49 (* end of lemma zenon_L444_ *) % 1.33/1.49 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.49 apply (zenon_L136_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.49 apply (zenon_L117_); trivial. % 1.33/1.49 apply (zenon_L19_); trivial. % 1.33/1.49 (* end of lemma zenon_L445_ *) % 1.33/1.49 assert (zenon_L446_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H10b zenon_H109 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H40. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L91_); trivial. % 1.33/1.49 apply (zenon_L444_); trivial. % 1.33/1.49 apply (zenon_L445_); trivial. % 1.33/1.49 (* end of lemma zenon_L446_ *) % 1.33/1.49 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H11d zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H10b zenon_H54. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.49 apply (zenon_L446_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L109_); trivial. % 1.33/1.49 apply (zenon_L444_); trivial. % 1.33/1.49 (* end of lemma zenon_L447_ *) % 1.33/1.49 assert (zenon_L448_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H55 zenon_H7e zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L440_); trivial. % 1.33/1.49 apply (zenon_L447_); trivial. % 1.33/1.49 (* end of lemma zenon_L448_ *) % 1.33/1.49 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.49 apply (zenon_L441_); trivial. % 1.33/1.49 apply (zenon_L448_); trivial. % 1.33/1.49 (* end of lemma zenon_L449_ *) % 1.33/1.49 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_Hea zenon_He6 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H124 zenon_Hd4 zenon_H185 zenon_H86 zenon_H10b zenon_H231 zenon_H133 zenon_H11e zenon_H1ca zenon_H18b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_L150_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L437_); trivial. % 1.33/1.49 apply (zenon_L149_); trivial. % 1.33/1.49 apply (zenon_L449_); trivial. % 1.33/1.49 apply (zenon_L156_); trivial. % 1.33/1.49 (* end of lemma zenon_L450_ *) % 1.33/1.49 assert (zenon_L451_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp30)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(hskp1)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H185 zenon_H9 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H8a zenon_H86. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H17b | zenon_intro zenon_H186 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H41 | zenon_intro zenon_H8d ]. % 1.33/1.49 apply (zenon_L438_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 exact (zenon_H9 zenon_Ha). % 1.33/1.49 exact (zenon_H8a zenon_H8b). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H8b | zenon_intro zenon_H87 ]. % 1.33/1.49 exact (zenon_H8a zenon_H8b). % 1.33/1.49 exact (zenon_H86 zenon_H87). % 1.33/1.49 (* end of lemma zenon_L451_ *) % 1.33/1.49 assert (zenon_L452_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2e zenon_H163 zenon_H3 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.49 apply (zenon_L451_); trivial. % 1.33/1.49 apply (zenon_L228_); trivial. % 1.33/1.49 (* end of lemma zenon_L452_ *) % 1.33/1.49 assert (zenon_L453_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.49 apply (zenon_L452_); trivial. % 1.33/1.49 apply (zenon_L140_); trivial. % 1.33/1.49 (* end of lemma zenon_L453_ *) % 1.33/1.49 assert (zenon_L454_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H101 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L93_); trivial. % 1.33/1.49 apply (zenon_L250_); trivial. % 1.33/1.49 (* end of lemma zenon_L454_ *) % 1.33/1.49 assert (zenon_L455_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.49 apply (zenon_L453_); trivial. % 1.33/1.49 apply (zenon_L454_); trivial. % 1.33/1.49 apply (zenon_L255_); trivial. % 1.33/1.49 (* end of lemma zenon_L455_ *) % 1.33/1.49 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_H71. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.49 apply (zenon_L136_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.49 apply (zenon_L36_); trivial. % 1.33/1.49 apply (zenon_L19_); trivial. % 1.33/1.49 (* end of lemma zenon_L456_ *) % 1.33/1.49 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H54 zenon_H165 zenon_H71 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_He4 zenon_H16e zenon_He6 zenon_H5 zenon_H1c4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.33/1.49 apply (zenon_L145_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.33/1.49 apply (zenon_L84_); trivial. % 1.33/1.49 apply (zenon_L86_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.33/1.49 apply (zenon_L74_); trivial. % 1.33/1.49 exact (zenon_H5 zenon_H6). % 1.33/1.49 apply (zenon_L456_); trivial. % 1.33/1.49 (* end of lemma zenon_L457_ *) % 1.33/1.49 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_H165 zenon_H71 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L122_); trivial. % 1.33/1.49 apply (zenon_L457_); trivial. % 1.33/1.49 (* end of lemma zenon_L458_ *) % 1.33/1.49 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H165 zenon_H103 zenon_He8 zenon_Hea zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L418_); trivial. % 1.33/1.49 apply (zenon_L458_); trivial. % 1.33/1.49 (* end of lemma zenon_L459_ *) % 1.33/1.49 assert (zenon_L460_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H16e zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_He4. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.33/1.49 apply (zenon_L136_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.33/1.49 apply (zenon_L141_); trivial. % 1.33/1.49 exact (zenon_He4 zenon_He5). % 1.33/1.49 (* end of lemma zenon_L460_ *) % 1.33/1.49 assert (zenon_L461_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c1_1 (a867)) -> (c3_1 (a867)) -> (c0_1 (a867)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H129 zenon_H12 zenon_H2f zenon_H1f zenon_H20 zenon_H1e. % 1.33/1.49 generalize (zenon_H129 (a867)). zenon_intro zenon_H26f. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H11 | zenon_intro zenon_H270 ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ]. % 1.33/1.49 generalize (zenon_H2f (a867)). zenon_intro zenon_H273. % 1.33/1.49 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_H11 | zenon_intro zenon_H274 ]. % 1.33/1.49 exact (zenon_H11 zenon_H12). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26 | zenon_intro zenon_H275 ]. % 1.33/1.49 exact (zenon_H26 zenon_H1f). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H276 | zenon_intro zenon_H25 ]. % 1.33/1.49 exact (zenon_H276 zenon_H272). % 1.33/1.49 exact (zenon_H25 zenon_H20). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.33/1.49 exact (zenon_H24 zenon_H1e). % 1.33/1.49 exact (zenon_H26 zenon_H1f). % 1.33/1.49 (* end of lemma zenon_L461_ *) % 1.33/1.49 assert (zenon_L462_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H133 zenon_H1e zenon_H20 zenon_H1f zenon_H2f zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_Hb. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ]. % 1.33/1.49 apply (zenon_L461_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ]. % 1.33/1.49 apply (zenon_L432_); trivial. % 1.33/1.49 exact (zenon_Hb zenon_Hc). % 1.33/1.49 (* end of lemma zenon_L462_ *) % 1.33/1.49 assert (zenon_L463_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H2f zenon_H133 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_Hb. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.33/1.49 apply (zenon_L462_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.33/1.49 apply (zenon_L11_); trivial. % 1.33/1.49 exact (zenon_Hb zenon_Hc). % 1.33/1.49 (* end of lemma zenon_L463_ *) % 1.33/1.49 assert (zenon_L464_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H8a zenon_H163 zenon_H3 zenon_H161 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.49 apply (zenon_L8_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.49 apply (zenon_L460_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.49 apply (zenon_L463_); trivial. % 1.33/1.49 exact (zenon_He8 zenon_He9). % 1.33/1.49 apply (zenon_L17_); trivial. % 1.33/1.49 apply (zenon_L183_); trivial. % 1.33/1.49 (* end of lemma zenon_L464_ *) % 1.33/1.49 assert (zenon_L465_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H161 zenon_H163 zenon_H8a zenon_H8c zenon_H55 zenon_H7e zenon_H54. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.49 apply (zenon_L464_); trivial. % 1.33/1.49 apply (zenon_L170_); trivial. % 1.33/1.49 (* end of lemma zenon_L465_ *) % 1.33/1.49 assert (zenon_L466_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H1bc zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H155 zenon_H138 zenon_H18b zenon_H231 zenon_Haa zenon_H16e zenon_H108 zenon_H10d zenon_H10b zenon_H50 zenon_H163 zenon_H86 zenon_H185 zenon_H2a zenon_Hef zenon_Hea zenon_H103 zenon_H165 zenon_H18a zenon_H1d9. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.49 apply (zenon_L431_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L455_); trivial. % 1.33/1.49 apply (zenon_L149_); trivial. % 1.33/1.49 apply (zenon_L459_); trivial. % 1.33/1.49 apply (zenon_L449_); trivial. % 1.33/1.49 apply (zenon_L156_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.49 apply (zenon_L431_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L465_); trivial. % 1.33/1.49 apply (zenon_L149_); trivial. % 1.33/1.49 apply (zenon_L459_); trivial. % 1.33/1.49 apply (zenon_L449_); trivial. % 1.33/1.49 apply (zenon_L156_); trivial. % 1.33/1.49 (* end of lemma zenon_L466_ *) % 1.33/1.49 assert (zenon_L467_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_H125. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.33/1.49 apply (zenon_L421_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.33/1.49 apply (zenon_L15_); trivial. % 1.33/1.49 exact (zenon_H125 zenon_H126). % 1.33/1.49 (* end of lemma zenon_L467_ *) % 1.33/1.49 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H81 zenon_H40 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L26_); trivial. % 1.33/1.49 apply (zenon_L467_); trivial. % 1.33/1.49 (* end of lemma zenon_L468_ *) % 1.33/1.49 assert (zenon_L469_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L55_); trivial. % 1.33/1.49 apply (zenon_L468_); trivial. % 1.33/1.49 (* end of lemma zenon_L469_ *) % 1.33/1.49 assert (zenon_L470_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_L469_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L80_); trivial. % 1.33/1.49 apply (zenon_L468_); trivial. % 1.33/1.49 (* end of lemma zenon_L470_ *) % 1.33/1.49 assert (zenon_L471_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H40 zenon_Hef. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.49 apply (zenon_L452_); trivial. % 1.33/1.49 apply (zenon_L119_); trivial. % 1.33/1.49 apply (zenon_L120_); trivial. % 1.33/1.49 (* end of lemma zenon_L471_ *) % 1.33/1.49 assert (zenon_L472_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H108. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.49 apply (zenon_L471_); trivial. % 1.33/1.49 apply (zenon_L215_); trivial. % 1.33/1.49 (* end of lemma zenon_L472_ *) % 1.33/1.49 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp28)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hb. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.33/1.49 apply (zenon_L117_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.33/1.49 apply (zenon_L11_); trivial. % 1.33/1.49 exact (zenon_Hb zenon_Hc). % 1.33/1.49 (* end of lemma zenon_L473_ *) % 1.33/1.49 assert (zenon_L474_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.49 apply (zenon_L8_); trivial. % 1.33/1.49 apply (zenon_L473_); trivial. % 1.33/1.49 (* end of lemma zenon_L474_ *) % 1.33/1.49 assert (zenon_L475_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L474_); trivial. % 1.33/1.49 apply (zenon_L17_); trivial. % 1.33/1.49 (* end of lemma zenon_L475_ *) % 1.33/1.49 assert (zenon_L476_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.49 apply (zenon_L475_); trivial. % 1.33/1.49 apply (zenon_L22_); trivial. % 1.33/1.49 (* end of lemma zenon_L476_ *) % 1.33/1.49 assert (zenon_L477_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L476_); trivial. % 1.33/1.49 apply (zenon_L468_); trivial. % 1.33/1.49 (* end of lemma zenon_L477_ *) % 1.33/1.49 assert (zenon_L478_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H50 zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H4b zenon_H4d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ]. % 1.33/1.49 apply (zenon_L442_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 1.33/1.49 exact (zenon_H4b zenon_H4c). % 1.33/1.49 exact (zenon_H4d zenon_H4e). % 1.33/1.49 (* end of lemma zenon_L478_ *) % 1.33/1.49 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H3b zenon_H155 zenon_H4d zenon_H4b zenon_H50 zenon_H25a zenon_H258 zenon_H264 zenon_H153. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.49 apply (zenon_L478_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 exact (zenon_H153 zenon_H154). % 1.33/1.49 (* end of lemma zenon_L479_ *) % 1.33/1.49 assert (zenon_L480_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H4b zenon_H4d zenon_H50 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.49 apply (zenon_L109_); trivial. % 1.33/1.49 apply (zenon_L479_); trivial. % 1.33/1.49 (* end of lemma zenon_L480_ *) % 1.33/1.49 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.49 apply (zenon_L477_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.49 apply (zenon_L218_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.49 apply (zenon_L480_); trivial. % 1.33/1.49 apply (zenon_L468_); trivial. % 1.33/1.49 (* end of lemma zenon_L481_ *) % 1.33/1.49 assert (zenon_L482_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1d9 zenon_H119 zenon_H16e zenon_H16f zenon_H165 zenon_Haa zenon_H10b zenon_H231 zenon_H18b zenon_H1ca zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H1bc zenon_Hf zenon_H108 zenon_H2e zenon_H163 zenon_H8c zenon_H86 zenon_H185 zenon_H2a zenon_H7e zenon_Hef zenon_Hd4 zenon_H124 zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_He6 zenon_He4 zenon_Hea zenon_H138 zenon_H18a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.49 apply (zenon_L470_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.49 apply (zenon_L472_); trivial. % 1.33/1.49 apply (zenon_L481_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.49 apply (zenon_L470_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.49 apply (zenon_L216_); trivial. % 1.33/1.49 apply (zenon_L481_); trivial. % 1.33/1.49 apply (zenon_L450_); trivial. % 1.33/1.49 (* end of lemma zenon_L482_ *) % 1.33/1.49 assert (zenon_L483_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hef zenon_H54 zenon_H2a zenon_H27 zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.49 apply (zenon_L452_); trivial. % 1.33/1.49 apply (zenon_L78_); trivial. % 1.33/1.49 (* end of lemma zenon_L483_ *) % 1.33/1.49 assert (zenon_L484_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H1c0 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.49 apply (zenon_L188_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.33/1.49 apply (zenon_L144_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.33/1.49 apply (zenon_L432_); trivial. % 1.33/1.49 apply (zenon_L320_); trivial. % 1.33/1.49 exact (zenon_H55 zenon_H56). % 1.33/1.49 (* end of lemma zenon_L484_ *) % 1.33/1.49 assert (zenon_L485_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H32 zenon_H31 zenon_H30 zenon_He8 zenon_H1c0 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.49 apply (zenon_L484_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 exact (zenon_H153 zenon_H154). % 1.33/1.49 (* end of lemma zenon_L485_ *) % 1.33/1.49 assert (zenon_L486_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.49 apply (zenon_L188_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 exact (zenon_H153 zenon_H154). % 1.33/1.49 (* end of lemma zenon_L486_ *) % 1.33/1.49 assert (zenon_L487_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H7e zenon_He8 zenon_Hea zenon_H119 zenon_H55 zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.33/1.50 apply (zenon_L485_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.50 apply (zenon_L484_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.50 apply (zenon_L486_); trivial. % 1.33/1.50 apply (zenon_L191_); trivial. % 1.33/1.50 apply (zenon_L72_); trivial. % 1.33/1.50 (* end of lemma zenon_L487_ *) % 1.33/1.50 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H21d zenon_Haa zenon_H1ad zenon_H1ae zenon_H103 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H1be zenon_H1c0 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L26_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.50 apply (zenon_L485_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.50 apply (zenon_L487_); trivial. % 1.33/1.50 exact (zenon_H1be zenon_H1bf). % 1.33/1.50 (* end of lemma zenon_L488_ *) % 1.33/1.50 assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H21d zenon_H103 zenon_H119 zenon_Hef zenon_H54 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1bc zenon_H5 zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.50 apply (zenon_L483_); trivial. % 1.33/1.50 apply (zenon_L202_); trivial. % 1.33/1.50 apply (zenon_L488_); trivial. % 1.33/1.50 (* end of lemma zenon_L489_ *) % 1.33/1.50 assert (zenon_L490_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H124 zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H3c zenon_Hd zenon_H10b zenon_Haa zenon_H1ae zenon_H1ad zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H125 zenon_H127 zenon_H54 zenon_Hef zenon_H40 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H108. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L471_); trivial. % 1.33/1.50 apply (zenon_L209_); trivial. % 1.33/1.50 (* end of lemma zenon_L490_ *) % 1.33/1.50 assert (zenon_L491_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_Haa zenon_H1ad zenon_H1ae zenon_H103 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H1be zenon_H1c0 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L155_); trivial. % 1.33/1.50 apply (zenon_L488_); trivial. % 1.33/1.50 (* end of lemma zenon_L491_ *) % 1.33/1.50 assert (zenon_L492_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H138 zenon_H21d zenon_H103 zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hd2 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L211_); trivial. % 1.33/1.50 apply (zenon_L491_); trivial. % 1.33/1.50 (* end of lemma zenon_L492_ *) % 1.33/1.50 assert (zenon_L493_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H155 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.50 apply (zenon_L222_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.50 apply (zenon_L420_); trivial. % 1.33/1.50 exact (zenon_H153 zenon_H154). % 1.33/1.50 (* end of lemma zenon_L493_ *) % 1.33/1.50 assert (zenon_L494_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1d6 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H161. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ]. % 1.33/1.50 apply (zenon_L222_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ]. % 1.33/1.50 apply (zenon_L420_); trivial. % 1.33/1.50 exact (zenon_H161 zenon_H162). % 1.33/1.50 (* end of lemma zenon_L494_ *) % 1.33/1.50 assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_Haa zenon_He4 zenon_H16e zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.50 apply (zenon_L493_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.50 apply (zenon_L494_); trivial. % 1.33/1.50 apply (zenon_L156_); trivial. % 1.33/1.50 (* end of lemma zenon_L495_ *) % 1.33/1.50 assert (zenon_L496_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H1be. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.33/1.50 apply (zenon_L64_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.33/1.50 apply (zenon_L11_); trivial. % 1.33/1.50 exact (zenon_H1be zenon_H1bf). % 1.33/1.50 (* end of lemma zenon_L496_ *) % 1.33/1.50 assert (zenon_L497_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H29 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.50 apply (zenon_L161_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L496_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L497_ *) % 1.33/1.50 assert (zenon_L498_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.50 apply (zenon_L8_); trivial. % 1.33/1.50 apply (zenon_L497_); trivial. % 1.33/1.50 (* end of lemma zenon_L498_ *) % 1.33/1.50 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1be zenon_H155 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.50 apply (zenon_L161_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L486_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L499_ *) % 1.33/1.50 assert (zenon_L500_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L498_); trivial. % 1.33/1.50 apply (zenon_L499_); trivial. % 1.33/1.50 (* end of lemma zenon_L500_ *) % 1.33/1.50 assert (zenon_L501_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H54 zenon_H8c zenon_H2a zenon_H3c zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L233_); trivial. % 1.33/1.50 apply (zenon_L500_); trivial. % 1.33/1.50 (* end of lemma zenon_L501_ *) % 1.33/1.50 assert (zenon_L502_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11e zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.50 apply (zenon_L218_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.50 apply (zenon_L452_); trivial. % 1.33/1.50 apply (zenon_L237_); trivial. % 1.33/1.50 apply (zenon_L232_); trivial. % 1.33/1.50 (* end of lemma zenon_L502_ *) % 1.33/1.50 assert (zenon_L503_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_Hef zenon_H1a2 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H11e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L502_); trivial. % 1.33/1.50 apply (zenon_L235_); trivial. % 1.33/1.50 (* end of lemma zenon_L503_ *) % 1.33/1.50 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp3)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_He4 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.50 apply (zenon_L161_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L146_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L504_ *) % 1.33/1.50 assert (zenon_L505_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H124 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H161 zenon_H163 zenon_H8c zenon_H55 zenon_H7e zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.50 apply (zenon_L464_); trivial. % 1.33/1.50 apply (zenon_L140_); trivial. % 1.33/1.50 apply (zenon_L232_); trivial. % 1.33/1.50 apply (zenon_L504_); trivial. % 1.33/1.50 (* end of lemma zenon_L505_ *) % 1.33/1.50 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H29 zenon_Hea zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_Hb zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.50 apply (zenon_L197_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.50 apply (zenon_L463_); trivial. % 1.33/1.50 exact (zenon_He8 zenon_He9). % 1.33/1.50 (* end of lemma zenon_L506_ *) % 1.33/1.50 assert (zenon_L507_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_Hb zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.50 apply (zenon_L451_); trivial. % 1.33/1.50 apply (zenon_L506_); trivial. % 1.33/1.50 (* end of lemma zenon_L507_ *) % 1.33/1.50 assert (zenon_L508_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L507_); trivial. % 1.33/1.50 apply (zenon_L230_); trivial. % 1.33/1.50 (* end of lemma zenon_L508_ *) % 1.33/1.50 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.50 apply (zenon_L161_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L116_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L509_ *) % 1.33/1.50 assert (zenon_L510_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H2a zenon_Hef. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.50 apply (zenon_L508_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L507_); trivial. % 1.33/1.50 apply (zenon_L509_); trivial. % 1.33/1.50 apply (zenon_L232_); trivial. % 1.33/1.50 (* end of lemma zenon_L510_ *) % 1.33/1.50 assert (zenon_L511_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L510_); trivial. % 1.33/1.50 apply (zenon_L504_); trivial. % 1.33/1.50 (* end of lemma zenon_L511_ *) % 1.33/1.50 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H178 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L440_); trivial. % 1.33/1.50 apply (zenon_L504_); trivial. % 1.33/1.50 (* end of lemma zenon_L512_ *) % 1.33/1.50 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L155_); trivial. % 1.33/1.50 apply (zenon_L504_); trivial. % 1.33/1.50 (* end of lemma zenon_L513_ *) % 1.33/1.50 assert (zenon_L514_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_H5 zenon_H1c2 zenon_H86 zenon_H185 zenon_H108 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H163 zenon_H2e zenon_Hea zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He4 zenon_H16e zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_H124 zenon_H165 zenon_H18b. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_L511_); trivial. % 1.33/1.50 apply (zenon_L512_); trivial. % 1.33/1.50 apply (zenon_L513_); trivial. % 1.33/1.50 (* end of lemma zenon_L514_ *) % 1.33/1.50 assert (zenon_L515_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_He4 zenon_H16e zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.50 apply (zenon_L493_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.50 apply (zenon_L494_); trivial. % 1.33/1.50 apply (zenon_L513_); trivial. % 1.33/1.50 (* end of lemma zenon_L515_ *) % 1.33/1.50 assert (zenon_L516_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hf zenon_H3c zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H1c4 zenon_H5 zenon_He6 zenon_H264 zenon_H153 zenon_H155 zenon_H138. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.50 apply (zenon_L424_); trivial. % 1.33/1.50 apply (zenon_L262_); trivial. % 1.33/1.50 (* end of lemma zenon_L516_ *) % 1.33/1.50 assert (zenon_L517_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H81 zenon_H209 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.33/1.50 apply (zenon_L421_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.33/1.50 apply (zenon_L279_); trivial. % 1.33/1.50 exact (zenon_H207 zenon_H208). % 1.33/1.50 (* end of lemma zenon_L517_ *) % 1.33/1.50 assert (zenon_L518_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.50 apply (zenon_L55_); trivial. % 1.33/1.50 apply (zenon_L517_); trivial. % 1.33/1.50 (* end of lemma zenon_L518_ *) % 1.33/1.50 assert (zenon_L519_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L518_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.50 apply (zenon_L80_); trivial. % 1.33/1.50 apply (zenon_L517_); trivial. % 1.33/1.50 (* end of lemma zenon_L519_ *) % 1.33/1.50 assert (zenon_L520_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.50 apply (zenon_L46_); trivial. % 1.33/1.50 apply (zenon_L473_); trivial. % 1.33/1.50 (* end of lemma zenon_L520_ *) % 1.33/1.50 assert (zenon_L521_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.50 apply (zenon_L475_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L520_); trivial. % 1.33/1.50 apply (zenon_L182_); trivial. % 1.33/1.50 apply (zenon_L140_); trivial. % 1.33/1.50 apply (zenon_L120_); trivial. % 1.33/1.50 (* end of lemma zenon_L521_ *) % 1.33/1.50 assert (zenon_L522_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L521_); trivial. % 1.33/1.50 apply (zenon_L215_); trivial. % 1.33/1.50 (* end of lemma zenon_L522_ *) % 1.33/1.50 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H29 zenon_H23b zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.33/1.50 apply (zenon_L197_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L279_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L523_ *) % 1.33/1.50 assert (zenon_L524_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.50 apply (zenon_L451_); trivial. % 1.33/1.50 apply (zenon_L523_); trivial. % 1.33/1.50 (* end of lemma zenon_L524_ *) % 1.33/1.50 assert (zenon_L525_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H138 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L522_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L524_); trivial. % 1.33/1.50 apply (zenon_L215_); trivial. % 1.33/1.50 (* end of lemma zenon_L525_ *) % 1.33/1.50 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L518_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.50 apply (zenon_L218_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.50 apply (zenon_L480_); trivial. % 1.33/1.50 apply (zenon_L517_); trivial. % 1.33/1.50 (* end of lemma zenon_L526_ *) % 1.33/1.50 assert (zenon_L527_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_Hb. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ]. % 1.33/1.50 apply (zenon_L108_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ]. % 1.33/1.50 apply (zenon_L432_); trivial. % 1.33/1.50 exact (zenon_Hb zenon_Hc). % 1.33/1.50 (* end of lemma zenon_L527_ *) % 1.33/1.50 assert (zenon_L528_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H65 zenon_H12 zenon_H1fa zenon_H1f6 zenon_H1f5. % 1.33/1.50 generalize (zenon_H65 (a803)). zenon_intro zenon_H277. % 1.33/1.50 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H11 | zenon_intro zenon_H278 ]. % 1.33/1.50 exact (zenon_H11 zenon_H12). % 1.33/1.50 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1f9 ]. % 1.33/1.50 exact (zenon_H1fa zenon_H1fe). % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ]. % 1.33/1.50 exact (zenon_H201 zenon_H1f6). % 1.33/1.50 exact (zenon_H1ff zenon_H1f5). % 1.33/1.50 (* end of lemma zenon_L528_ *) % 1.33/1.50 assert (zenon_L529_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1d zenon_H12 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.33/1.50 generalize (zenon_H1d (a803)). zenon_intro zenon_H1f7. % 1.33/1.50 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ]. % 1.33/1.50 exact (zenon_H11 zenon_H12). % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 1.33/1.50 apply (zenon_L528_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ]. % 1.33/1.50 exact (zenon_H201 zenon_H1f6). % 1.33/1.50 exact (zenon_H1ff zenon_H1f5). % 1.33/1.50 (* end of lemma zenon_L529_ *) % 1.33/1.50 assert (zenon_L530_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_Hb. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.33/1.50 apply (zenon_L527_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.33/1.50 apply (zenon_L529_); trivial. % 1.33/1.50 exact (zenon_Hb zenon_Hc). % 1.33/1.50 (* end of lemma zenon_L530_ *) % 1.33/1.50 assert (zenon_L531_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H7e zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_Hb zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H55. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.50 apply (zenon_L530_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.50 apply (zenon_L527_); trivial. % 1.33/1.50 exact (zenon_H55 zenon_H56). % 1.33/1.50 (* end of lemma zenon_L531_ *) % 1.33/1.50 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L531_); trivial. % 1.33/1.50 apply (zenon_L444_); trivial. % 1.33/1.50 (* end of lemma zenon_L532_ *) % 1.33/1.50 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H231 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.50 apply (zenon_L441_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L440_); trivial. % 1.33/1.50 apply (zenon_L532_); trivial. % 1.33/1.50 (* end of lemma zenon_L533_ *) % 1.33/1.50 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_Hea zenon_He6 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H108 zenon_H16e zenon_He4 zenon_H16f zenon_H54 zenon_H165 zenon_H163 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hac zenon_H124 zenon_Hd4 zenon_H185 zenon_H133 zenon_H1bc zenon_H231 zenon_H1ca zenon_H18b. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.50 apply (zenon_L269_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L437_); trivial. % 1.33/1.50 apply (zenon_L268_); trivial. % 1.33/1.50 apply (zenon_L533_); trivial. % 1.33/1.50 apply (zenon_L270_); trivial. % 1.33/1.50 (* end of lemma zenon_L534_ *) % 1.33/1.50 assert (zenon_L535_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H23b zenon_Hd9 zenon_Hd7 zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.33/1.50 apply (zenon_L72_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.33/1.50 apply (zenon_L279_); trivial. % 1.33/1.50 apply (zenon_L229_); trivial. % 1.33/1.50 (* end of lemma zenon_L535_ *) % 1.33/1.50 assert (zenon_L536_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H12 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd7 zenon_Hd9 zenon_H23b zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.50 apply (zenon_L188_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.33/1.50 apply (zenon_L144_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.33/1.50 apply (zenon_L432_); trivial. % 1.33/1.50 apply (zenon_L535_); trivial. % 1.33/1.50 exact (zenon_H55 zenon_H56). % 1.33/1.50 (* end of lemma zenon_L536_ *) % 1.33/1.50 assert (zenon_L537_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H155 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1c0 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.33/1.50 apply (zenon_L536_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.33/1.50 apply (zenon_L420_); trivial. % 1.33/1.50 exact (zenon_H153 zenon_H154). % 1.33/1.50 (* end of lemma zenon_L537_ *) % 1.33/1.50 assert (zenon_L538_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Haa zenon_H55 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1dd zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.50 apply (zenon_L536_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.50 apply (zenon_L190_); trivial. % 1.33/1.50 apply (zenon_L191_); trivial. % 1.33/1.50 (* end of lemma zenon_L538_ *) % 1.33/1.50 assert (zenon_L539_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c0_1 (a806)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H148 zenon_Hf0 zenon_H147 zenon_H153 zenon_H7e zenon_H1dd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H55 zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.33/1.50 apply (zenon_L537_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.33/1.50 apply (zenon_L538_); trivial. % 1.33/1.50 apply (zenon_L72_); trivial. % 1.33/1.50 (* end of lemma zenon_L539_ *) % 1.33/1.50 assert (zenon_L540_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_Haa zenon_H55 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1dd zenon_H7e zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H155 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_H103 zenon_H1be. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.50 apply (zenon_L537_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.50 apply (zenon_L539_); trivial. % 1.33/1.50 exact (zenon_H1be zenon_H1bf). % 1.33/1.50 (* end of lemma zenon_L540_ *) % 1.33/1.50 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H207 zenon_H209 zenon_H155 zenon_H153 zenon_H1c0 zenon_H1be zenon_H119 zenon_Hd7 zenon_Hd9 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H103 zenon_H148 zenon_H147 zenon_Haa zenon_H21d zenon_H55 zenon_H57 zenon_H59. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.50 apply (zenon_L26_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.33/1.50 apply (zenon_L540_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.33/1.50 apply (zenon_L539_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.33/1.50 apply (zenon_L279_); trivial. % 1.33/1.50 exact (zenon_H207 zenon_H208). % 1.33/1.50 exact (zenon_H5 zenon_H6). % 1.33/1.50 (* end of lemma zenon_L541_ *) % 1.33/1.50 assert (zenon_L542_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H1c4 zenon_H207 zenon_H209 zenon_H155 zenon_H153 zenon_H1c0 zenon_H1be zenon_H119 zenon_H7e zenon_H103 zenon_H148 zenon_H147 zenon_Haa zenon_H21d zenon_H55 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.50 apply (zenon_L524_); trivial. % 1.33/1.50 apply (zenon_L541_); trivial. % 1.33/1.50 (* end of lemma zenon_L542_ *) % 1.33/1.50 assert (zenon_L543_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Haa zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.50 apply (zenon_L266_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.50 apply (zenon_L66_); trivial. % 1.33/1.50 apply (zenon_L175_); trivial. % 1.33/1.50 (* end of lemma zenon_L543_ *) % 1.33/1.50 assert (zenon_L544_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H129 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.33/1.50 generalize (zenon_H129 (a803)). zenon_intro zenon_H279. % 1.33/1.50 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_H11 | zenon_intro zenon_H27a ]. % 1.33/1.50 exact (zenon_H11 zenon_H12). % 1.33/1.50 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H200 | zenon_intro zenon_H27b ]. % 1.33/1.50 exact (zenon_H1f4 zenon_H200). % 1.33/1.50 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H1fa | zenon_intro zenon_H201 ]. % 1.33/1.50 apply (zenon_L528_); trivial. % 1.33/1.50 exact (zenon_H201 zenon_H1f6). % 1.33/1.50 (* end of lemma zenon_L544_ *) % 1.33/1.50 assert (zenon_L545_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.33/1.51 apply (zenon_L222_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.33/1.51 apply (zenon_L64_); trivial. % 1.33/1.51 apply (zenon_L544_); trivial. % 1.33/1.51 (* end of lemma zenon_L545_ *) % 1.33/1.51 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H11d zenon_Haa zenon_He4 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.51 apply (zenon_L145_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.51 apply (zenon_L545_); trivial. % 1.33/1.51 apply (zenon_L361_); trivial. % 1.33/1.51 (* end of lemma zenon_L546_ *) % 1.33/1.51 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H1ca zenon_H231 zenon_H185 zenon_H86 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H16e zenon_He4 zenon_Hac zenon_H124 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_L493_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_L494_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L155_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.51 apply (zenon_L543_); trivial. % 1.33/1.51 apply (zenon_L267_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L155_); trivial. % 1.33/1.51 apply (zenon_L546_); trivial. % 1.33/1.51 (* end of lemma zenon_L547_ *) % 1.33/1.51 assert (zenon_L548_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d6 zenon_H18a zenon_H124 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H155 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H108 zenon_H23b zenon_H1dd zenon_H5 zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H21d zenon_H103 zenon_H119 zenon_H1c4 zenon_H138 zenon_H18b zenon_H1ca zenon_H231 zenon_H133 zenon_Hd4 zenon_Hac zenon_H88 zenon_H165 zenon_H16f zenon_He4 zenon_H16e zenon_He6 zenon_Hea zenon_H1d9. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_L289_); trivial. % 1.33/1.51 apply (zenon_L542_); trivial. % 1.33/1.51 apply (zenon_L290_); trivial. % 1.33/1.51 apply (zenon_L534_); trivial. % 1.33/1.51 apply (zenon_L547_); trivial. % 1.33/1.51 (* end of lemma zenon_L548_ *) % 1.33/1.51 assert (zenon_L549_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H10f zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.33/1.51 generalize (zenon_H10f (a803)). zenon_intro zenon_H27c. % 1.33/1.51 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H11 | zenon_intro zenon_H27d ]. % 1.33/1.51 exact (zenon_H11 zenon_H12). % 1.33/1.51 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H200 | zenon_intro zenon_H27e ]. % 1.33/1.51 exact (zenon_H1f4 zenon_H200). % 1.33/1.51 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1ff ]. % 1.33/1.51 apply (zenon_L528_); trivial. % 1.33/1.51 exact (zenon_H1ff zenon_H1f5). % 1.33/1.51 (* end of lemma zenon_L549_ *) % 1.33/1.51 assert (zenon_L550_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H1f4 zenon_H12 zenon_Hb. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H134 ]. % 1.33/1.51 apply (zenon_L544_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10f | zenon_intro zenon_Hc ]. % 1.33/1.51 apply (zenon_L549_); trivial. % 1.33/1.51 exact (zenon_Hb zenon_Hc). % 1.33/1.51 (* end of lemma zenon_L550_ *) % 1.33/1.51 assert (zenon_L551_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp28)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hb zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.51 apply (zenon_L161_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.51 apply (zenon_L550_); trivial. % 1.33/1.51 apply (zenon_L229_); trivial. % 1.33/1.51 (* end of lemma zenon_L551_ *) % 1.33/1.51 assert (zenon_L552_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H161 zenon_H3 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L551_); trivial. % 1.33/1.51 apply (zenon_L230_); trivial. % 1.33/1.51 (* end of lemma zenon_L552_ *) % 1.33/1.51 assert (zenon_L553_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H108 zenon_H40 zenon_H161 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_H54 zenon_Hef. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L552_); trivial. % 1.33/1.51 apply (zenon_L140_); trivial. % 1.33/1.51 apply (zenon_L232_); trivial. % 1.33/1.51 (* end of lemma zenon_L553_ *) % 1.33/1.51 assert (zenon_L554_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1c2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H5. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.33/1.51 apply (zenon_L535_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.33/1.51 apply (zenon_L529_); trivial. % 1.33/1.51 exact (zenon_H5 zenon_H6). % 1.33/1.51 (* end of lemma zenon_L554_ *) % 1.33/1.51 assert (zenon_L555_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.33/1.51 apply (zenon_L161_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.33/1.51 apply (zenon_L554_); trivial. % 1.33/1.51 apply (zenon_L229_); trivial. % 1.33/1.51 (* end of lemma zenon_L555_ *) % 1.33/1.51 assert (zenon_L556_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L553_); trivial. % 1.33/1.51 apply (zenon_L235_); trivial. % 1.33/1.51 apply (zenon_L555_); trivial. % 1.33/1.51 apply (zenon_L241_); trivial. % 1.33/1.51 (* end of lemma zenon_L556_ *) % 1.33/1.51 assert (zenon_L557_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1e6 zenon_H1d9 zenon_He4 zenon_H16e zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H108 zenon_H40 zenon_H163 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_L556_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L553_); trivial. % 1.33/1.51 apply (zenon_L504_); trivial. % 1.33/1.51 apply (zenon_L555_); trivial. % 1.33/1.51 apply (zenon_L513_); trivial. % 1.33/1.51 (* end of lemma zenon_L557_ *) % 1.33/1.51 assert (zenon_L558_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (~(hskp15)) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hea zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H44 zenon_H43 zenon_H12 zenon_H73 zenon_He8. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L298_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L100_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 (* end of lemma zenon_L558_ *) % 1.33/1.51 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_Hea. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.51 apply (zenon_L136_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.51 apply (zenon_L558_); trivial. % 1.33/1.51 apply (zenon_L19_); trivial. % 1.33/1.51 (* end of lemma zenon_L559_ *) % 1.33/1.51 assert (zenon_L560_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.51 apply (zenon_L27_); trivial. % 1.33/1.51 apply (zenon_L559_); trivial. % 1.33/1.51 (* end of lemma zenon_L560_ *) % 1.33/1.51 assert (zenon_L561_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp25)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H88 zenon_H84 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.51 apply (zenon_L451_); trivial. % 1.33/1.51 apply (zenon_L42_); trivial. % 1.33/1.51 (* end of lemma zenon_L561_ *) % 1.33/1.51 assert (zenon_L562_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.33/1.51 apply (zenon_L297_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.33/1.51 apply (zenon_L384_); trivial. % 1.33/1.51 apply (zenon_L11_); trivial. % 1.33/1.51 (* end of lemma zenon_L562_ *) % 1.33/1.51 assert (zenon_L563_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H165 zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H133 zenon_Hb zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.51 apply (zenon_L451_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.33/1.51 apply (zenon_L136_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L562_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L462_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 apply (zenon_L439_); trivial. % 1.33/1.51 (* end of lemma zenon_L563_ *) % 1.33/1.51 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H29 zenon_Hea zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_H32 zenon_H31 zenon_H30 zenon_He8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L562_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L15_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 (* end of lemma zenon_L564_ *) % 1.33/1.51 assert (zenon_L565_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H40 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.51 apply (zenon_L561_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L563_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.51 apply (zenon_L451_); trivial. % 1.33/1.51 apply (zenon_L564_); trivial. % 1.33/1.51 (* end of lemma zenon_L565_ *) % 1.33/1.51 assert (zenon_L566_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.51 apply (zenon_L66_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.51 apply (zenon_L433_); trivial. % 1.33/1.51 exact (zenon_H55 zenon_H56). % 1.33/1.51 (* end of lemma zenon_L566_ *) % 1.33/1.51 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L566_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L15_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 (* end of lemma zenon_L567_ *) % 1.33/1.51 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H11d zenon_H40 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L26_); trivial. % 1.33/1.51 apply (zenon_L567_); trivial. % 1.33/1.51 (* end of lemma zenon_L568_ *) % 1.33/1.51 assert (zenon_L569_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H20f zenon_H210 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.33/1.51 apply (zenon_L307_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.33/1.51 apply (zenon_L141_); trivial. % 1.33/1.51 apply (zenon_L108_); trivial. % 1.33/1.51 (* end of lemma zenon_L569_ *) % 1.33/1.51 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H3b zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H158 zenon_H159 zenon_H15a zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_He8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L569_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L15_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 (* end of lemma zenon_L570_ *) % 1.33/1.51 assert (zenon_L571_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H55 zenon_H57 zenon_H59. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L26_); trivial. % 1.33/1.51 apply (zenon_L570_); trivial. % 1.33/1.51 (* end of lemma zenon_L571_ *) % 1.33/1.51 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H18c zenon_H18b zenon_H11e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H133 zenon_Hac zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_L560_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L565_); trivial. % 1.33/1.51 apply (zenon_L568_); trivial. % 1.33/1.51 apply (zenon_L571_); trivial. % 1.33/1.51 apply (zenon_L449_); trivial. % 1.33/1.51 (* end of lemma zenon_L572_ *) % 1.33/1.51 assert (zenon_L573_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L155_); trivial. % 1.33/1.51 apply (zenon_L568_); trivial. % 1.33/1.51 (* end of lemma zenon_L573_ *) % 1.33/1.51 assert (zenon_L574_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1ca zenon_H231 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_Hd4 zenon_H124 zenon_H138. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_L560_); trivial. % 1.33/1.51 apply (zenon_L573_); trivial. % 1.33/1.51 apply (zenon_L571_); trivial. % 1.33/1.51 (* end of lemma zenon_L574_ *) % 1.33/1.51 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.51 apply (zenon_L216_); trivial. % 1.33/1.51 apply (zenon_L448_); trivial. % 1.33/1.51 (* end of lemma zenon_L575_ *) % 1.33/1.51 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.51 apply (zenon_L574_); trivial. % 1.33/1.51 apply (zenon_L575_); trivial. % 1.33/1.51 (* end of lemma zenon_L576_ *) % 1.33/1.51 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_L493_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_L494_); trivial. % 1.33/1.51 apply (zenon_L576_); trivial. % 1.33/1.51 (* end of lemma zenon_L577_ *) % 1.33/1.51 assert (zenon_L578_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1ac zenon_H20b zenon_H1d6 zenon_H1c0 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_Hac zenon_H88 zenon_H18a zenon_H138 zenon_Hea zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H124 zenon_Hd4 zenon_Hef zenon_H7e zenon_H2a zenon_H185 zenon_H86 zenon_H8c zenon_H163 zenon_H2e zenon_H108 zenon_Hf zenon_H1bc zenon_H1c8 zenon_H1c6 zenon_H133 zenon_H11e zenon_H1ca zenon_H18b zenon_H231 zenon_H10b zenon_Haa zenon_H165 zenon_H16f zenon_H16e zenon_H119 zenon_H1d9. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.33/1.51 apply (zenon_L482_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_L338_); trivial. % 1.33/1.51 apply (zenon_L572_); trivial. % 1.33/1.51 apply (zenon_L577_); trivial. % 1.33/1.51 (* end of lemma zenon_L578_ *) % 1.33/1.51 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H29 zenon_Hea zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H20f zenon_H210 zenon_H71 zenon_Hb zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_He8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.33/1.51 apply (zenon_L562_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.33/1.51 apply (zenon_L463_); trivial. % 1.33/1.51 exact (zenon_He8 zenon_He9). % 1.33/1.51 (* end of lemma zenon_L579_ *) % 1.33/1.51 assert (zenon_L580_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_He8 zenon_Hea zenon_H2e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.51 apply (zenon_L8_); trivial. % 1.33/1.51 apply (zenon_L579_); trivial. % 1.33/1.51 apply (zenon_L17_); trivial. % 1.33/1.51 (* end of lemma zenon_L580_ *) % 1.33/1.51 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L343_); trivial. % 1.33/1.51 apply (zenon_L230_); trivial. % 1.33/1.51 (* end of lemma zenon_L581_ *) % 1.33/1.51 assert (zenon_L582_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.51 apply (zenon_L561_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.51 apply (zenon_L580_); trivial. % 1.33/1.51 apply (zenon_L581_); trivial. % 1.33/1.51 (* end of lemma zenon_L582_ *) % 1.33/1.51 assert (zenon_L583_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L582_); trivial. % 1.33/1.51 apply (zenon_L140_); trivial. % 1.33/1.51 apply (zenon_L232_); trivial. % 1.33/1.51 (* end of lemma zenon_L583_ *) % 1.33/1.51 assert (zenon_L584_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H124 zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H2a zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H71 zenon_H210 zenon_H20f zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_Hac zenon_H108. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L583_); trivial. % 1.33/1.51 apply (zenon_L500_); trivial. % 1.33/1.51 (* end of lemma zenon_L584_ *) % 1.33/1.51 assert (zenon_L585_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H1e4 zenon_Hef zenon_H2a zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L510_); trivial. % 1.33/1.51 apply (zenon_L235_); trivial. % 1.33/1.51 (* end of lemma zenon_L585_ *) % 1.33/1.51 assert (zenon_L586_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.51 apply (zenon_L451_); trivial. % 1.33/1.51 apply (zenon_L473_); trivial. % 1.33/1.51 (* end of lemma zenon_L586_ *) % 1.33/1.51 assert (zenon_L587_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L586_); trivial. % 1.33/1.51 apply (zenon_L230_); trivial. % 1.33/1.51 (* end of lemma zenon_L587_ *) % 1.33/1.51 assert (zenon_L588_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hec zenon_H40 zenon_H16f zenon_H27 zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H21f zenon_H221 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L586_); trivial. % 1.33/1.51 apply (zenon_L312_); trivial. % 1.33/1.51 (* end of lemma zenon_L588_ *) % 1.33/1.51 assert (zenon_L589_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H236 zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H22d zenon_H22f. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L318_); trivial. % 1.33/1.51 apply (zenon_L215_); trivial. % 1.33/1.51 (* end of lemma zenon_L589_ *) % 1.33/1.51 assert (zenon_L590_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H109 zenon_H10b zenon_H54 zenon_Hef. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L587_); trivial. % 1.33/1.51 apply (zenon_L273_); trivial. % 1.33/1.51 apply (zenon_L232_); trivial. % 1.33/1.51 (* end of lemma zenon_L590_ *) % 1.33/1.51 assert (zenon_L591_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L109_); trivial. % 1.33/1.51 apply (zenon_L230_); trivial. % 1.33/1.51 (* end of lemma zenon_L591_ *) % 1.33/1.51 assert (zenon_L592_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp18)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H124 zenon_H153 zenon_H1e4 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_H16f zenon_H71 zenon_H210 zenon_H20f zenon_H21f zenon_H221 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H11e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.51 apply (zenon_L590_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L591_); trivial. % 1.33/1.51 apply (zenon_L588_); trivial. % 1.33/1.51 apply (zenon_L120_); trivial. % 1.33/1.51 apply (zenon_L235_); trivial. % 1.33/1.51 (* end of lemma zenon_L592_ *) % 1.33/1.51 assert (zenon_L593_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H236 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H86 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H22d zenon_H22f. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L318_); trivial. % 1.33/1.51 apply (zenon_L235_); trivial. % 1.33/1.51 (* end of lemma zenon_L593_ *) % 1.33/1.51 assert (zenon_L594_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H54 zenon_H10b zenon_H1e4 zenon_H153 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_Hef zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H221 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H22f zenon_H22d zenon_H235. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L587_); trivial. % 1.33/1.51 apply (zenon_L588_); trivial. % 1.33/1.51 apply (zenon_L232_); trivial. % 1.33/1.51 apply (zenon_L215_); trivial. % 1.33/1.51 apply (zenon_L589_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.33/1.51 apply (zenon_L592_); trivial. % 1.33/1.51 apply (zenon_L593_); trivial. % 1.33/1.51 (* end of lemma zenon_L594_ *) % 1.33/1.51 assert (zenon_L595_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.51 apply (zenon_L561_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L563_); trivial. % 1.33/1.51 apply (zenon_L230_); trivial. % 1.33/1.51 (* end of lemma zenon_L595_ *) % 1.33/1.51 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hec zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.51 apply (zenon_L561_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.51 apply (zenon_L563_); trivial. % 1.33/1.51 apply (zenon_L509_); trivial. % 1.33/1.51 (* end of lemma zenon_L596_ *) % 1.33/1.51 assert (zenon_L597_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H108 zenon_Hac zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.33/1.51 apply (zenon_L595_); trivial. % 1.33/1.51 apply (zenon_L596_); trivial. % 1.33/1.51 apply (zenon_L232_); trivial. % 1.33/1.51 (* end of lemma zenon_L597_ *) % 1.33/1.51 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H18c zenon_H18a zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_Hea zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_Hac zenon_H108 zenon_H18b. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.51 apply (zenon_L597_); trivial. % 1.33/1.51 apply (zenon_L504_); trivial. % 1.33/1.51 apply (zenon_L512_); trivial. % 1.33/1.51 apply (zenon_L513_); trivial. % 1.33/1.51 (* end of lemma zenon_L598_ *) % 1.33/1.51 assert (zenon_L599_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H1d6 zenon_H18a zenon_H138 zenon_H1e4 zenon_H5 zenon_H1c2 zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H11e zenon_H1ca zenon_H18b zenon_H165 zenon_H16e zenon_He4 zenon_H1d9. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.51 apply (zenon_L584_); trivial. % 1.33/1.51 apply (zenon_L585_); trivial. % 1.33/1.51 apply (zenon_L594_); trivial. % 1.33/1.51 apply (zenon_L241_); trivial. % 1.33/1.51 apply (zenon_L598_); trivial. % 1.33/1.51 apply (zenon_L515_); trivial. % 1.33/1.51 (* end of lemma zenon_L599_ *) % 1.33/1.51 assert (zenon_L600_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H39 zenon_H109 zenon_H10b. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L91_); trivial. % 1.33/1.52 apply (zenon_L376_); trivial. % 1.33/1.52 (* end of lemma zenon_L600_ *) % 1.33/1.52 assert (zenon_L601_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_L600_); trivial. % 1.33/1.52 apply (zenon_L559_); trivial. % 1.33/1.52 (* end of lemma zenon_L601_ *) % 1.33/1.52 assert (zenon_L602_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.52 apply (zenon_L601_); trivial. % 1.33/1.52 apply (zenon_L255_); trivial. % 1.33/1.52 (* end of lemma zenon_L602_ *) % 1.33/1.52 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_H5 zenon_H1c4 zenon_He4 zenon_H142 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L602_); trivial. % 1.33/1.52 apply (zenon_L260_); trivial. % 1.33/1.52 (* end of lemma zenon_L603_ *) % 1.33/1.52 assert (zenon_L604_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H138 zenon_He6 zenon_H5 zenon_H1c4 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H11e zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L419_); trivial. % 1.33/1.52 apply (zenon_L603_); trivial. % 1.33/1.52 (* end of lemma zenon_L604_ *) % 1.33/1.52 assert (zenon_L605_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.33/1.52 apply (zenon_L28_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.33/1.52 apply (zenon_L384_); trivial. % 1.33/1.52 apply (zenon_L257_); trivial. % 1.33/1.52 (* end of lemma zenon_L605_ *) % 1.33/1.52 assert (zenon_L606_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H23b zenon_H97 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.33/1.52 apply (zenon_L605_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.33/1.52 apply (zenon_L279_); trivial. % 1.33/1.52 apply (zenon_L229_); trivial. % 1.33/1.52 (* end of lemma zenon_L606_ *) % 1.33/1.52 assert (zenon_L607_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H81 zenon_H54 zenon_H21d zenon_H1be zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_L580_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L343_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.52 apply (zenon_L606_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.52 apply (zenon_L386_); trivial. % 1.33/1.52 exact (zenon_H1be zenon_H1bf). % 1.33/1.52 (* end of lemma zenon_L607_ *) % 1.33/1.52 assert (zenon_L608_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H23b zenon_H1dd zenon_H80 zenon_Hac. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_L382_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.52 apply (zenon_L55_); trivial. % 1.33/1.52 apply (zenon_L607_); trivial. % 1.33/1.52 apply (zenon_L391_); trivial. % 1.33/1.52 (* end of lemma zenon_L608_ *) % 1.33/1.52 assert (zenon_L609_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.33/1.52 do 0 intro. intros zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.52 apply (zenon_L286_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.52 apply (zenon_L302_); trivial. % 1.33/1.52 apply (zenon_L350_); trivial. % 1.33/1.52 (* end of lemma zenon_L609_ *) % 1.33/1.52 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp1)) -> (~(hskp25)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H21d zenon_H86 zenon_H84 zenon_H88 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H231 zenon_H71 zenon_H210 zenon_H20f zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.52 apply (zenon_L266_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.52 apply (zenon_L609_); trivial. % 1.33/1.52 exact (zenon_H1be zenon_H1bf). % 1.33/1.52 (* end of lemma zenon_L610_ *) % 1.33/1.52 assert (zenon_L611_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_L44_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L343_); trivial. % 1.33/1.52 apply (zenon_L610_); trivial. % 1.33/1.52 (* end of lemma zenon_L611_ *) % 1.33/1.52 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a806)) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H21d zenon_H1dd zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H231 zenon_H71 zenon_H210 zenon_H20f zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.52 apply (zenon_L389_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.52 apply (zenon_L609_); trivial. % 1.33/1.52 exact (zenon_H1be zenon_H1bf). % 1.33/1.52 (* end of lemma zenon_L612_ *) % 1.33/1.52 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L343_); trivial. % 1.33/1.52 apply (zenon_L612_); trivial. % 1.33/1.52 (* end of lemma zenon_L613_ *) % 1.33/1.52 assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H1be zenon_H1c0 zenon_H21d zenon_H54. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_L611_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_L580_); trivial. % 1.33/1.52 apply (zenon_L613_); trivial. % 1.33/1.52 (* end of lemma zenon_L614_ *) % 1.33/1.52 assert (zenon_L615_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H236 zenon_H138 zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H40 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L370_); trivial. % 1.33/1.52 apply (zenon_L391_); trivial. % 1.33/1.52 (* end of lemma zenon_L615_ *) % 1.33/1.52 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H239 zenon_H124 zenon_Hac zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H86 zenon_H88 zenon_Hea zenon_He8 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H231 zenon_H1be zenon_H1c0 zenon_H21d zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H16f zenon_H108 zenon_H103 zenon_H138. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.33/1.52 apply (zenon_L185_); trivial. % 1.33/1.52 apply (zenon_L314_); trivial. % 1.33/1.52 apply (zenon_L614_); trivial. % 1.33/1.52 apply (zenon_L391_); trivial. % 1.33/1.52 apply (zenon_L615_); trivial. % 1.33/1.52 (* end of lemma zenon_L616_ *) % 1.33/1.52 assert (zenon_L617_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L26_); trivial. % 1.33/1.52 apply (zenon_L610_); trivial. % 1.33/1.52 (* end of lemma zenon_L617_ *) % 1.33/1.52 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1dd zenon_H23b zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_L617_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L474_); trivial. % 1.33/1.52 apply (zenon_L612_); trivial. % 1.33/1.52 (* end of lemma zenon_L618_ *) % 1.33/1.52 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hac zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H23b zenon_H1dd zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.52 apply (zenon_L218_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_L617_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L109_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.52 apply (zenon_L537_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.52 apply (zenon_L386_); trivial. % 1.33/1.52 exact (zenon_H1be zenon_H1bf). % 1.33/1.52 (* end of lemma zenon_L619_ *) % 1.33/1.52 assert (zenon_L620_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H1bc zenon_Hf zenon_H23b zenon_H1dd zenon_Hac zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_H40 zenon_Hef zenon_Hd4 zenon_H124. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.52 apply (zenon_L472_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L471_); trivial. % 1.33/1.52 apply (zenon_L618_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L471_); trivial. % 1.33/1.52 apply (zenon_L619_); trivial. % 1.33/1.52 (* end of lemma zenon_L620_ *) % 1.33/1.52 assert (zenon_L621_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.33/1.52 do 0 intro. intros zenon_Haa zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H23b zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.33/1.52 apply (zenon_L606_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.33/1.52 apply (zenon_L325_); trivial. % 1.33/1.52 apply (zenon_L52_); trivial. % 1.33/1.52 (* end of lemma zenon_L621_ *) % 1.33/1.52 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.33/1.52 apply (zenon_L621_); trivial. % 1.33/1.52 apply (zenon_L68_); trivial. % 1.33/1.52 (* end of lemma zenon_L622_ *) % 1.33/1.52 assert (zenon_L623_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H124 zenon_Hac zenon_H80 zenon_Hc2 zenon_H7e zenon_H23b zenon_H1dd zenon_H71 zenon_H233 zenon_H40 zenon_H3c zenon_Hd zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L155_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_L543_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.52 apply (zenon_L55_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_L27_); trivial. % 1.33/1.52 apply (zenon_L622_); trivial. % 1.33/1.52 (* end of lemma zenon_L623_ *) % 1.33/1.52 assert (zenon_L624_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H103 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H3c zenon_H40 zenon_H233 zenon_H71 zenon_H1dd zenon_H23b zenon_H7e zenon_Hc2 zenon_H80 zenon_Hac zenon_H124. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L623_); trivial. % 1.33/1.52 apply (zenon_L391_); trivial. % 1.33/1.52 (* end of lemma zenon_L624_ *) % 1.33/1.52 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H103 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H54 zenon_H21d zenon_H1c0 zenon_H1be zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H23b zenon_H1dd zenon_Hac zenon_H124. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L155_); trivial. % 1.33/1.52 apply (zenon_L614_); trivial. % 1.33/1.52 apply (zenon_L391_); trivial. % 1.33/1.52 (* end of lemma zenon_L625_ *) % 1.33/1.52 assert (zenon_L626_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_H153 zenon_H155 zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_Hf zenon_H23b zenon_H1dd zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.52 apply (zenon_L216_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L155_); trivial. % 1.33/1.52 apply (zenon_L618_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L155_); trivial. % 1.33/1.52 apply (zenon_L619_); trivial. % 1.33/1.52 (* end of lemma zenon_L626_ *) % 1.33/1.52 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H18c zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H4d zenon_H27f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.33/1.52 apply (zenon_L266_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.33/1.52 apply (zenon_L136_); trivial. % 1.33/1.52 exact (zenon_H4d zenon_H4e). % 1.33/1.52 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.33/1.52 apply (zenon_L389_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.33/1.52 apply (zenon_L136_); trivial. % 1.33/1.52 exact (zenon_H4d zenon_H4e). % 1.33/1.52 (* end of lemma zenon_L627_ *) % 1.33/1.52 assert (zenon_L628_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H4d zenon_H27f zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.52 apply (zenon_L493_); trivial. % 1.33/1.52 apply (zenon_L627_); trivial. % 1.33/1.52 (* end of lemma zenon_L628_ *) % 1.33/1.52 assert (zenon_L629_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1be zenon_H1c0 zenon_H155 zenon_H153 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L584_); trivial. % 1.33/1.52 apply (zenon_L503_); trivial. % 1.33/1.52 apply (zenon_L594_); trivial. % 1.33/1.52 apply (zenon_L241_); trivial. % 1.33/1.52 (* end of lemma zenon_L629_ *) % 1.33/1.52 assert (zenon_L630_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H1d6 zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b zenon_H165 zenon_H16e zenon_He4 zenon_H1d9. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.33/1.52 apply (zenon_L629_); trivial. % 1.33/1.52 apply (zenon_L598_); trivial. % 1.33/1.52 apply (zenon_L515_); trivial. % 1.33/1.52 (* end of lemma zenon_L630_ *) % 1.33/1.52 assert (zenon_L631_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c2_1 (a800))) -> (c3_1 (a800)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H97 zenon_H12 zenon_H244 zenon_H281 zenon_H246. % 1.33/1.52 generalize (zenon_H97 (a800)). zenon_intro zenon_H282. % 1.33/1.52 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H11 | zenon_intro zenon_H283 ]. % 1.33/1.52 exact (zenon_H11 zenon_H12). % 1.33/1.52 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24a | zenon_intro zenon_H284 ]. % 1.33/1.52 exact (zenon_H244 zenon_H24a). % 1.33/1.52 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H285 | zenon_intro zenon_H24b ]. % 1.33/1.52 exact (zenon_H281 zenon_H285). % 1.33/1.52 exact (zenon_H24b zenon_H246). % 1.33/1.52 (* end of lemma zenon_L631_ *) % 1.33/1.52 assert (zenon_L632_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H73 zenon_H12 zenon_H245 zenon_H97 zenon_H244 zenon_H246. % 1.33/1.52 generalize (zenon_H73 (a800)). zenon_intro zenon_H286. % 1.33/1.52 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ]. % 1.33/1.52 exact (zenon_H11 zenon_H12). % 1.33/1.52 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H24c | zenon_intro zenon_H288 ]. % 1.33/1.52 exact (zenon_H245 zenon_H24c). % 1.33/1.52 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ]. % 1.33/1.52 apply (zenon_L631_); trivial. % 1.33/1.52 exact (zenon_H24b zenon_H246). % 1.33/1.52 (* end of lemma zenon_L632_ *) % 1.33/1.52 assert (zenon_L633_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H7e zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H12 zenon_H55. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.33/1.52 apply (zenon_L66_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.33/1.52 apply (zenon_L632_); trivial. % 1.33/1.52 exact (zenon_H55 zenon_H56). % 1.33/1.52 (* end of lemma zenon_L633_ *) % 1.33/1.52 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.33/1.52 apply (zenon_L122_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.52 apply (zenon_L633_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.52 apply (zenon_L74_); trivial. % 1.33/1.52 exact (zenon_H1be zenon_H1bf). % 1.33/1.52 apply (zenon_L69_); trivial. % 1.33/1.52 (* end of lemma zenon_L634_ *) % 1.33/1.52 assert (zenon_L635_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L418_); trivial. % 1.33/1.52 apply (zenon_L634_); trivial. % 1.33/1.52 (* end of lemma zenon_L635_ *) % 1.33/1.52 assert (zenon_L636_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H138 zenon_H246 zenon_H244 zenon_H245 zenon_He6 zenon_H1be zenon_H21d zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H54 zenon_H124. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L419_); trivial. % 1.33/1.52 apply (zenon_L635_); trivial. % 1.33/1.52 (* end of lemma zenon_L636_ *) % 1.33/1.52 assert (zenon_L637_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.52 apply (zenon_L8_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.33/1.52 apply (zenon_L396_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.33/1.52 apply (zenon_L463_); trivial. % 1.33/1.52 exact (zenon_H125 zenon_H126). % 1.33/1.52 (* end of lemma zenon_L637_ *) % 1.33/1.52 assert (zenon_L638_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp7)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H3b zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H125. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.33/1.52 apply (zenon_L396_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.33/1.52 apply (zenon_L15_); trivial. % 1.33/1.52 exact (zenon_H125 zenon_H126). % 1.33/1.52 (* end of lemma zenon_L638_ *) % 1.33/1.52 assert (zenon_L639_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H40 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L637_); trivial. % 1.33/1.52 apply (zenon_L638_); trivial. % 1.33/1.52 (* end of lemma zenon_L639_ *) % 1.33/1.52 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H121 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12a zenon_H12b zenon_H12c zenon_H133. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L109_); trivial. % 1.33/1.52 apply (zenon_L638_); trivial. % 1.33/1.52 (* end of lemma zenon_L640_ *) % 1.33/1.52 assert (zenon_L641_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c6 zenon_H1c8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.33/1.52 apply (zenon_L218_); trivial. % 1.33/1.52 apply (zenon_L640_); trivial. % 1.33/1.52 (* end of lemma zenon_L641_ *) % 1.33/1.52 assert (zenon_L642_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H1c6 zenon_H1c8 zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.33/1.52 apply (zenon_L639_); trivial. % 1.33/1.52 apply (zenon_L641_); trivial. % 1.33/1.52 (* end of lemma zenon_L642_ *) % 1.33/1.52 assert (zenon_L643_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H20b zenon_H1d9 zenon_H18a zenon_Haa zenon_H16e zenon_H86 zenon_H185 zenon_H1d6 zenon_H155 zenon_H138 zenon_H246 zenon_H244 zenon_H245 zenon_He6 zenon_H21d zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H1bc zenon_H264 zenon_H133 zenon_H125 zenon_H127 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1ca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.33/1.52 apply (zenon_L636_); trivial. % 1.33/1.52 apply (zenon_L642_); trivial. % 1.33/1.52 apply (zenon_L495_); trivial. % 1.33/1.52 (* end of lemma zenon_L643_ *) % 1.33/1.52 assert (zenon_L644_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H57 zenon_H59. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.52 apply (zenon_L26_); trivial. % 1.33/1.52 apply (zenon_L638_); trivial. % 1.33/1.52 (* end of lemma zenon_L644_ *) % 1.33/1.52 assert (zenon_L645_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H1c8 zenon_H1c6 zenon_Hef zenon_H1a2 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H11e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.33/1.52 apply (zenon_L502_); trivial. % 1.33/1.52 apply (zenon_L504_); trivial. % 1.33/1.52 (* end of lemma zenon_L645_ *) % 1.33/1.52 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp6)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H289 zenon_H209 zenon_H246 zenon_H245 zenon_H244 zenon_H207. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.33/1.52 apply (zenon_L396_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.33/1.52 apply (zenon_L279_); trivial. % 1.33/1.52 exact (zenon_H207 zenon_H208). % 1.33/1.52 (* end of lemma zenon_L646_ *) % 1.33/1.52 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_Had zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.53 apply (zenon_L580_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.53 apply (zenon_L343_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.33/1.53 apply (zenon_L46_); trivial. % 1.33/1.53 apply (zenon_L564_); trivial. % 1.33/1.53 (* end of lemma zenon_L647_ *) % 1.33/1.53 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.33/1.53 do 0 intro. intros zenon_H3b zenon_H21d zenon_H55 zenon_H245 zenon_H244 zenon_H246 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.33/1.53 apply (zenon_L633_); trivial. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.33/1.53 apply (zenon_L386_); trivial. % 1.33/1.53 exact (zenon_H1be zenon_H1bf). % 1.33/1.53 (* end of lemma zenon_L648_ *) % 1.33/1.53 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.33/1.53 apply (zenon_L343_); trivial. % 1.33/1.53 apply (zenon_L648_); trivial. % 1.33/1.53 (* end of lemma zenon_L649_ *) % 1.33/1.53 assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_Had zenon_H54 zenon_H21d zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hd4 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.33/1.53 apply (zenon_L27_); trivial. % 1.33/1.53 apply (zenon_L649_); trivial. % 1.33/1.53 (* end of lemma zenon_L650_ *) % 1.33/1.53 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H11d zenon_Hac zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H59 zenon_H57 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.38/1.53 apply (zenon_L382_); trivial. % 1.38/1.53 apply (zenon_L650_); trivial. % 1.38/1.53 (* end of lemma zenon_L651_ *) % 1.38/1.53 assert (zenon_L652_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H138 zenon_H1dd zenon_H23b zenon_H103 zenon_Hac zenon_H8c zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H57 zenon_H59 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_H124. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.38/1.53 apply (zenon_L382_); trivial. % 1.38/1.53 apply (zenon_L647_); trivial. % 1.38/1.53 apply (zenon_L651_); trivial. % 1.38/1.53 apply (zenon_L391_); trivial. % 1.38/1.53 (* end of lemma zenon_L652_ *) % 1.38/1.53 assert (zenon_L653_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H20b zenon_H18a zenon_H138 zenon_H1e4 zenon_H1c8 zenon_H1c6 zenon_H1a2 zenon_H11e zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_Hef zenon_H1c0 zenon_H155 zenon_H124 zenon_H235 zenon_H22d zenon_H22f zenon_H221 zenon_H16f zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H1ca zenon_H18b zenon_H27f zenon_H4d zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H23b zenon_H1d9. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.38/1.53 apply (zenon_L629_); trivial. % 1.38/1.53 apply (zenon_L627_); trivial. % 1.38/1.53 apply (zenon_L628_); trivial. % 1.38/1.53 (* end of lemma zenon_L653_ *) % 1.38/1.53 assert (zenon_L654_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H163 zenon_H161 zenon_H40. % 1.38/1.53 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.38/1.53 apply (zenon_L552_); trivial. % 1.38/1.53 apply (zenon_L170_); trivial. % 1.38/1.53 (* end of lemma zenon_L654_ *) % 1.38/1.53 assert (zenon_L655_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H18a zenon_H124 zenon_H153 zenon_H1e4 zenon_H86 zenon_H185 zenon_H40 zenon_H163 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.38/1.53 apply (zenon_L654_); trivial. % 1.38/1.53 apply (zenon_L241_); trivial. % 1.38/1.53 (* end of lemma zenon_L655_ *) % 1.38/1.53 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_He4 zenon_H16e zenon_Hef zenon_H1a2 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H163 zenon_H40 zenon_H185 zenon_H86 zenon_H1e4 zenon_H124 zenon_H18a. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.38/1.53 apply (zenon_L655_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.38/1.53 apply (zenon_L654_); trivial. % 1.38/1.53 apply (zenon_L513_); trivial. % 1.38/1.53 (* end of lemma zenon_L656_ *) % 1.38/1.53 assert (zenon_L657_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.38/1.53 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.38/1.53 generalize (zenon_Hd6 (a798)). zenon_intro zenon_H28f. % 1.38/1.53 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_H11 | zenon_intro zenon_H290 ]. % 1.38/1.53 exact (zenon_H11 zenon_H12). % 1.38/1.53 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H292 | zenon_intro zenon_H291 ]. % 1.38/1.53 exact (zenon_H28c zenon_H292). % 1.38/1.53 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ]. % 1.38/1.53 exact (zenon_H294 zenon_H28d). % 1.38/1.53 exact (zenon_H293 zenon_H28e). % 1.38/1.53 (* end of lemma zenon_L657_ *) % 1.38/1.53 assert (zenon_L658_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H30 zenon_H65 zenon_H12 zenon_H5. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.38/1.53 apply (zenon_L31_); trivial. % 1.38/1.53 exact (zenon_H5 zenon_H6). % 1.38/1.53 (* end of lemma zenon_L658_ *) % 1.38/1.53 assert (zenon_L659_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp18)) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H40 zenon_H221 zenon_H21f zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.53 apply (zenon_L26_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H65 | zenon_intro zenon_H222 ]. % 1.38/1.53 apply (zenon_L658_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ]. % 1.38/1.53 exact (zenon_H161 zenon_H162). % 1.38/1.53 exact (zenon_H21f zenon_H220). % 1.38/1.53 (* end of lemma zenon_L659_ *) % 1.38/1.53 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H127 zenon_H4d zenon_H109 zenon_H5c zenon_H5e zenon_H5d zenon_H10d zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.38/1.53 apply (zenon_L94_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.38/1.53 apply (zenon_L101_); trivial. % 1.38/1.53 exact (zenon_H125 zenon_H126). % 1.38/1.53 (* end of lemma zenon_L660_ *) % 1.38/1.53 assert (zenon_L661_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H10b zenon_H109 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.53 apply (zenon_L106_); trivial. % 1.38/1.53 apply (zenon_L660_); trivial. % 1.38/1.53 (* end of lemma zenon_L661_ *) % 1.38/1.53 assert (zenon_L662_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.38/1.53 apply (zenon_L144_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.38/1.53 apply (zenon_L97_); trivial. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 (* end of lemma zenon_L662_ *) % 1.38/1.53 assert (zenon_L663_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H103 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.38/1.53 apply (zenon_L662_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.38/1.53 apply (zenon_L84_); trivial. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 (* end of lemma zenon_L663_ *) % 1.38/1.53 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H5c zenon_H5e zenon_H5d zenon_H119 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.38/1.53 apply (zenon_L663_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.38/1.53 apply (zenon_L101_); trivial. % 1.38/1.53 exact (zenon_H125 zenon_H126). % 1.38/1.53 (* end of lemma zenon_L664_ *) % 1.38/1.53 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.38/1.53 apply (zenon_L55_); trivial. % 1.38/1.53 apply (zenon_L661_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.38/1.53 apply (zenon_L55_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.53 apply (zenon_L27_); trivial. % 1.38/1.53 apply (zenon_L664_); trivial. % 1.38/1.53 (* end of lemma zenon_L665_ *) % 1.38/1.53 assert (zenon_L666_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80 zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L318_); trivial. % 1.38/1.53 apply (zenon_L665_); trivial. % 1.38/1.53 (* end of lemma zenon_L666_ *) % 1.38/1.53 assert (zenon_L667_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H5. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.38/1.53 apply (zenon_L124_); trivial. % 1.38/1.53 exact (zenon_H5 zenon_H6). % 1.38/1.53 (* end of lemma zenon_L667_ *) % 1.38/1.53 assert (zenon_L668_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H103 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.38/1.53 apply (zenon_L662_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.38/1.53 apply (zenon_L667_); trivial. % 1.38/1.53 apply (zenon_L72_); trivial. % 1.38/1.53 (* end of lemma zenon_L668_ *) % 1.38/1.53 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H1be. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.38/1.53 apply (zenon_L662_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.38/1.53 apply (zenon_L668_); trivial. % 1.38/1.53 exact (zenon_H1be zenon_H1bf). % 1.38/1.53 (* end of lemma zenon_L669_ *) % 1.38/1.53 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_L96_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.53 apply (zenon_L26_); trivial. % 1.38/1.53 apply (zenon_L669_); trivial. % 1.38/1.53 (* end of lemma zenon_L670_ *) % 1.38/1.53 assert (zenon_L671_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L318_); trivial. % 1.38/1.53 apply (zenon_L670_); trivial. % 1.38/1.53 (* end of lemma zenon_L671_ *) % 1.38/1.53 assert (zenon_L672_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H236 zenon_H138 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_L666_); trivial. % 1.38/1.53 apply (zenon_L671_); trivial. % 1.38/1.53 (* end of lemma zenon_L672_ *) % 1.38/1.53 assert (zenon_L673_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.38/1.53 apply (zenon_L659_); trivial. % 1.38/1.53 apply (zenon_L672_); trivial. % 1.38/1.53 (* end of lemma zenon_L673_ *) % 1.38/1.53 assert (zenon_L674_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c0_1 (a796)) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H73 zenon_H42 zenon_H12 zenon_H5. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.38/1.53 apply (zenon_L35_); trivial. % 1.38/1.53 exact (zenon_H5 zenon_H6). % 1.38/1.53 (* end of lemma zenon_L674_ *) % 1.38/1.53 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H5 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hb. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.38/1.53 apply (zenon_L674_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.38/1.53 apply (zenon_L11_); trivial. % 1.38/1.53 exact (zenon_Hb zenon_Hc). % 1.38/1.53 (* end of lemma zenon_L675_ *) % 1.38/1.53 assert (zenon_L676_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H42 zenon_H43 zenon_H44 zenon_H5 zenon_H1c2 zenon_Hb zenon_Hd zenon_Hf. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.38/1.53 apply (zenon_L8_); trivial. % 1.38/1.53 apply (zenon_L675_); trivial. % 1.38/1.53 (* end of lemma zenon_L676_ *) % 1.38/1.53 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H40 zenon_H127 zenon_H125 zenon_H5c zenon_H5e zenon_H5d zenon_H109 zenon_H4d zenon_H10d zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.53 apply (zenon_L676_); trivial. % 1.38/1.53 apply (zenon_L105_); trivial. % 1.38/1.53 (* end of lemma zenon_L677_ *) % 1.38/1.53 assert (zenon_L678_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H80 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H125 zenon_H127 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.38/1.53 apply (zenon_L93_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.53 apply (zenon_L106_); trivial. % 1.38/1.53 apply (zenon_L677_); trivial. % 1.38/1.53 (* end of lemma zenon_L678_ *) % 1.38/1.53 assert (zenon_L679_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H121 zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H103 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.53 apply (zenon_L109_); trivial. % 1.38/1.53 apply (zenon_L669_); trivial. % 1.38/1.53 (* end of lemma zenon_L679_ *) % 1.38/1.53 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_L96_); trivial. % 1.38/1.53 apply (zenon_L679_); trivial. % 1.38/1.53 (* end of lemma zenon_L680_ *) % 1.38/1.53 assert (zenon_L681_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L318_); trivial. % 1.38/1.53 apply (zenon_L680_); trivial. % 1.38/1.53 (* end of lemma zenon_L681_ *) % 1.38/1.53 assert (zenon_L682_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L155_); trivial. % 1.38/1.53 apply (zenon_L665_); trivial. % 1.38/1.53 (* end of lemma zenon_L682_ *) % 1.38/1.53 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L155_); trivial. % 1.38/1.53 apply (zenon_L670_); trivial. % 1.38/1.53 (* end of lemma zenon_L683_ *) % 1.38/1.53 assert (zenon_L684_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H138 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_L682_); trivial. % 1.38/1.53 apply (zenon_L683_); trivial. % 1.38/1.53 (* end of lemma zenon_L684_ *) % 1.38/1.53 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> False). % 1.38/1.53 do 0 intro. intros zenon_H29 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.38/1.53 apply (zenon_L657_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.38/1.53 apply (zenon_L11_); trivial. % 1.38/1.53 exact (zenon_H5 zenon_H6). % 1.38/1.53 (* end of lemma zenon_L685_ *) % 1.38/1.53 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H4f zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H8a zenon_H8c. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.38/1.53 apply (zenon_L46_); trivial. % 1.38/1.53 apply (zenon_L685_); trivial. % 1.38/1.53 (* end of lemma zenon_L686_ *) % 1.38/1.53 assert (zenon_L687_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H54 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.53 apply (zenon_L27_); trivial. % 1.38/1.53 apply (zenon_L686_); trivial. % 1.38/1.53 (* end of lemma zenon_L687_ *) % 1.38/1.53 assert (zenon_L688_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L155_); trivial. % 1.38/1.53 apply (zenon_L680_); trivial. % 1.38/1.53 (* end of lemma zenon_L688_ *) % 1.38/1.53 assert (zenon_L689_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H18a zenon_H8c zenon_Hef zenon_H2a zenon_H7 zenon_H88 zenon_Haa zenon_H233 zenon_Hc2 zenon_Hac zenon_H108 zenon_H86 zenon_H185 zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H221 zenon_H40 zenon_H71 zenon_H133 zenon_H2e zenon_H1bc zenon_Hf zenon_H1ca. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.38/1.53 apply (zenon_L673_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.38/1.53 apply (zenon_L659_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_L678_); trivial. % 1.38/1.53 apply (zenon_L112_); trivial. % 1.38/1.53 apply (zenon_L681_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.38/1.53 apply (zenon_L684_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L687_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_L678_); trivial. % 1.38/1.53 apply (zenon_L327_); trivial. % 1.38/1.53 apply (zenon_L688_); trivial. % 1.38/1.53 (* end of lemma zenon_L689_ *) % 1.38/1.53 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H121 zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.53 apply (zenon_L26_); trivial. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.38/1.53 apply (zenon_L662_); trivial. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.38/1.53 apply (zenon_L222_); trivial. % 1.38/1.53 apply (zenon_L320_); trivial. % 1.38/1.53 (* end of lemma zenon_L690_ *) % 1.38/1.53 assert (zenon_L691_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H11d zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.53 apply (zenon_L96_); trivial. % 1.38/1.53 apply (zenon_L690_); trivial. % 1.38/1.53 (* end of lemma zenon_L691_ *) % 1.38/1.53 assert (zenon_L692_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.53 apply (zenon_L318_); trivial. % 1.38/1.53 apply (zenon_L691_); trivial. % 1.38/1.53 (* end of lemma zenon_L692_ *) % 1.38/1.53 assert (zenon_L693_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H236 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.38/1.53 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.53 apply (zenon_L666_); trivial. % 1.38/1.53 apply (zenon_L692_); trivial. % 1.38/1.53 (* end of lemma zenon_L693_ *) % 1.38/1.53 assert (zenon_L694_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.53 do 0 intro. intros zenon_H235 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40. % 1.38/1.53 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.38/1.53 apply (zenon_L659_); trivial. % 1.38/1.53 apply (zenon_L693_); trivial. % 1.38/1.53 (* end of lemma zenon_L694_ *) % 1.38/1.53 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_Hec zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.38/1.54 apply (zenon_L23_); trivial. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.54 apply (zenon_L18_); trivial. % 1.38/1.54 apply (zenon_L677_); trivial. % 1.38/1.54 (* end of lemma zenon_L695_ *) % 1.38/1.54 assert (zenon_L696_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.38/1.54 do 0 intro. intros zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7. % 1.38/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.38/1.54 apply (zenon_L4_); trivial. % 1.38/1.54 apply (zenon_L695_); trivial. % 1.38/1.54 (* end of lemma zenon_L696_ *) % 1.38/1.54 assert (zenon_L697_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H10d zenon_H109 zenon_H125 zenon_H127 zenon_H80 zenon_Hef. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.38/1.54 apply (zenon_L696_); trivial. % 1.38/1.54 apply (zenon_L454_); trivial. % 1.38/1.54 (* end of lemma zenon_L697_ *) % 1.38/1.54 assert (zenon_L698_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H11e zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H57 zenon_H59 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H108. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.54 apply (zenon_L697_); trivial. % 1.38/1.54 apply (zenon_L112_); trivial. % 1.38/1.54 (* end of lemma zenon_L698_ *) % 1.38/1.54 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H1b9 zenon_H235 zenon_H138 zenon_H124 zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H102 zenon_H22d zenon_H22f zenon_H108 zenon_H7e zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1bc zenon_H10d zenon_H125 zenon_H127 zenon_H80 zenon_Hef zenon_H133 zenon_H11e zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.38/1.54 apply (zenon_L659_); trivial. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.54 apply (zenon_L698_); trivial. % 1.38/1.54 apply (zenon_L692_); trivial. % 1.38/1.54 (* end of lemma zenon_L699_ *) % 1.38/1.54 assert (zenon_L700_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H103 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.54 apply (zenon_L155_); trivial. % 1.38/1.54 apply (zenon_L691_); trivial. % 1.38/1.54 (* end of lemma zenon_L700_ *) % 1.38/1.54 assert (zenon_L701_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.54 apply (zenon_L682_); trivial. % 1.38/1.54 apply (zenon_L700_); trivial. % 1.38/1.54 (* end of lemma zenon_L701_ *) % 1.38/1.54 assert (zenon_L702_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.38/1.54 apply (zenon_L247_); trivial. % 1.38/1.54 apply (zenon_L454_); trivial. % 1.38/1.54 apply (zenon_L255_); trivial. % 1.38/1.54 (* end of lemma zenon_L702_ *) % 1.38/1.54 assert (zenon_L703_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H124 zenon_Hac zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_H86 zenon_H88 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H57 zenon_H59 zenon_H127 zenon_H125 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.38/1.54 apply (zenon_L702_); trivial. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.54 apply (zenon_L697_); trivial. % 1.38/1.54 apply (zenon_L327_); trivial. % 1.38/1.54 (* end of lemma zenon_L703_ *) % 1.38/1.54 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hac zenon_H233 zenon_Haa zenon_H88 zenon_H133 zenon_H1c2 zenon_H1bc zenon_H108 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H7 zenon_H5 zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_Hef zenon_H1f2 zenon_H1ca. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.38/1.54 apply (zenon_L701_); trivial. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.54 apply (zenon_L703_); trivial. % 1.38/1.54 apply (zenon_L700_); trivial. % 1.38/1.54 apply (zenon_L153_); trivial. % 1.38/1.54 (* end of lemma zenon_L704_ *) % 1.38/1.54 assert (zenon_L705_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H155 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.38/1.54 apply (zenon_L667_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.38/1.54 apply (zenon_L127_); trivial. % 1.38/1.54 exact (zenon_H153 zenon_H154). % 1.38/1.54 (* end of lemma zenon_L705_ *) % 1.38/1.54 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H125. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.38/1.54 apply (zenon_L705_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.38/1.54 apply (zenon_L15_); trivial. % 1.38/1.54 exact (zenon_H125 zenon_H126). % 1.38/1.54 (* end of lemma zenon_L706_ *) % 1.38/1.54 assert (zenon_L707_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.38/1.54 apply (zenon_L136_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.38/1.54 apply (zenon_L674_); trivial. % 1.38/1.54 apply (zenon_L19_); trivial. % 1.38/1.54 (* end of lemma zenon_L707_ *) % 1.38/1.54 assert (zenon_L708_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.54 apply (zenon_L27_); trivial. % 1.38/1.54 apply (zenon_L707_); trivial. % 1.38/1.54 (* end of lemma zenon_L708_ *) % 1.38/1.54 assert (zenon_L709_ : (forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H10f zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148. % 1.38/1.54 generalize (zenon_H10f (a808)). zenon_intro zenon_H295. % 1.38/1.54 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H11 | zenon_intro zenon_H296 ]. % 1.38/1.54 exact (zenon_H11 zenon_H12). % 1.38/1.54 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H152 ]. % 1.38/1.54 exact (zenon_H1a4 zenon_H1a8). % 1.38/1.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H14d ]. % 1.38/1.54 apply (zenon_L126_); trivial. % 1.38/1.54 exact (zenon_H14d zenon_H148). % 1.38/1.54 (* end of lemma zenon_L709_ *) % 1.38/1.54 assert (zenon_L710_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.38/1.54 apply (zenon_L141_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.38/1.54 apply (zenon_L709_); trivial. % 1.38/1.54 apply (zenon_L657_); trivial. % 1.38/1.54 (* end of lemma zenon_L710_ *) % 1.38/1.54 assert (zenon_L711_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.38/1.54 do 0 intro. intros zenon_Hea zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.38/1.54 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.38/1.54 apply (zenon_L710_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.38/1.54 apply (zenon_L15_); trivial. % 1.38/1.54 exact (zenon_He8 zenon_He9). % 1.38/1.54 (* end of lemma zenon_L711_ *) % 1.38/1.54 assert (zenon_L712_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H102 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.38/1.54 apply (zenon_L710_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.38/1.54 apply (zenon_L87_); trivial. % 1.38/1.54 exact (zenon_H1 zenon_H2). % 1.38/1.54 (* end of lemma zenon_L712_ *) % 1.38/1.54 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_He8 zenon_Hea zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H102 zenon_H5. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.38/1.54 apply (zenon_L711_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.38/1.54 apply (zenon_L712_); trivial. % 1.38/1.54 exact (zenon_H5 zenon_H6). % 1.38/1.54 (* end of lemma zenon_L713_ *) % 1.38/1.54 assert (zenon_L714_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H15a zenon_H159 zenon_H158 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.54 apply (zenon_L26_); trivial. % 1.38/1.54 apply (zenon_L713_); trivial. % 1.38/1.54 (* end of lemma zenon_L714_ *) % 1.38/1.54 assert (zenon_L715_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H1 zenon_H102 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_He8 zenon_Hea zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.54 apply (zenon_L708_); trivial. % 1.38/1.54 apply (zenon_L714_); trivial. % 1.38/1.54 (* end of lemma zenon_L715_ *) % 1.38/1.54 assert (zenon_L716_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hea zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.38/1.54 apply (zenon_L715_); trivial. % 1.38/1.54 apply (zenon_L153_); trivial. % 1.38/1.54 (* end of lemma zenon_L716_ *) % 1.38/1.54 assert (zenon_L717_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H40. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.54 apply (zenon_L26_); trivial. % 1.38/1.54 apply (zenon_L706_); trivial. % 1.38/1.54 apply (zenon_L716_); trivial. % 1.38/1.54 (* end of lemma zenon_L717_ *) % 1.38/1.54 assert (zenon_L718_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c0_1 (a838)) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H112 zenon_H110 zenon_H199 zenon_H111 zenon_H12 zenon_H5. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.38/1.54 apply (zenon_L657_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.38/1.54 apply (zenon_L162_); trivial. % 1.38/1.54 exact (zenon_H5 zenon_H6). % 1.38/1.54 (* end of lemma zenon_L718_ *) % 1.38/1.54 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> False). % 1.38/1.54 do 0 intro. intros zenon_Hec zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H111 zenon_H110 zenon_H112 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.38/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.38/1.54 apply (zenon_L161_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.38/1.54 apply (zenon_L718_); trivial. % 1.38/1.54 apply (zenon_L10_); trivial. % 1.38/1.54 (* end of lemma zenon_L719_ *) % 1.38/1.54 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H121 zenon_Hef zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H1 zenon_H5 zenon_H7. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.38/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.38/1.54 apply (zenon_L4_); trivial. % 1.38/1.54 apply (zenon_L719_); trivial. % 1.38/1.54 (* end of lemma zenon_L720_ *) % 1.38/1.54 assert (zenon_L721_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hef zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H7 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.54 apply (zenon_L96_); trivial. % 1.38/1.54 apply (zenon_L720_); trivial. % 1.38/1.54 (* end of lemma zenon_L721_ *) % 1.38/1.54 assert (zenon_L722_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H108 zenon_H102 zenon_H138. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.38/1.54 apply (zenon_L697_); trivial. % 1.38/1.54 apply (zenon_L720_); trivial. % 1.38/1.54 apply (zenon_L721_); trivial. % 1.38/1.54 apply (zenon_L171_); trivial. % 1.38/1.54 (* end of lemma zenon_L722_ *) % 1.38/1.54 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_H108 zenon_H7 zenon_H5 zenon_H2e zenon_H2a zenon_Hf zenon_H231 zenon_H1ae zenon_H1ad zenon_Haa zenon_Hef zenon_H1ca. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.38/1.54 apply (zenon_L701_); trivial. % 1.38/1.54 apply (zenon_L368_); trivial. % 1.38/1.54 apply (zenon_L153_); trivial. % 1.38/1.54 (* end of lemma zenon_L723_ *) % 1.38/1.54 assert (zenon_L724_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.54 apply (zenon_L91_); trivial. % 1.38/1.54 apply (zenon_L509_); trivial. % 1.38/1.54 (* end of lemma zenon_L724_ *) % 1.38/1.54 assert (zenon_L725_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.54 apply (zenon_L724_); trivial. % 1.38/1.54 apply (zenon_L22_); trivial. % 1.38/1.54 (* end of lemma zenon_L725_ *) % 1.38/1.54 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.38/1.54 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.38/1.54 apply (zenon_L161_); trivial. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.38/1.54 apply (zenon_L32_); trivial. % 1.38/1.54 apply (zenon_L229_); trivial. % 1.38/1.54 (* end of lemma zenon_L726_ *) % 1.38/1.54 assert (zenon_L727_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.38/1.54 apply (zenon_L91_); trivial. % 1.38/1.54 apply (zenon_L726_); trivial. % 1.38/1.54 (* end of lemma zenon_L727_ *) % 1.38/1.54 assert (zenon_L728_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.38/1.54 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.38/1.54 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.38/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.38/1.54 apply (zenon_L727_); trivial. % 1.38/1.54 apply (zenon_L38_); trivial. % 1.38/1.54 (* end of lemma zenon_L728_ *) % 1.38/1.54 assert (zenon_L729_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H7e zenon_H55 zenon_Hf zenon_H2e zenon_H71 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2a zenon_H10b zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H108 zenon_H102 zenon_H10d zenon_H138. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.54 apply (zenon_L725_); trivial. % 1.40/1.54 apply (zenon_L728_); trivial. % 1.40/1.54 apply (zenon_L232_); trivial. % 1.40/1.54 apply (zenon_L239_); trivial. % 1.40/1.54 apply (zenon_L240_); trivial. % 1.40/1.54 apply (zenon_L171_); trivial. % 1.40/1.54 (* end of lemma zenon_L729_ *) % 1.40/1.54 assert (zenon_L730_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hb zenon_Hd zenon_Hf. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.40/1.54 apply (zenon_L8_); trivial. % 1.40/1.54 apply (zenon_L685_); trivial. % 1.40/1.54 (* end of lemma zenon_L730_ *) % 1.40/1.54 assert (zenon_L731_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.54 apply (zenon_L730_); trivial. % 1.40/1.54 apply (zenon_L17_); trivial. % 1.40/1.54 (* end of lemma zenon_L731_ *) % 1.40/1.54 assert (zenon_L732_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.54 apply (zenon_L731_); trivial. % 1.40/1.54 apply (zenon_L707_); trivial. % 1.40/1.54 (* end of lemma zenon_L732_ *) % 1.40/1.54 assert (zenon_L733_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.54 do 0 intro. intros zenon_H121 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.54 apply (zenon_L243_); trivial. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.54 apply (zenon_L97_); trivial. % 1.40/1.54 apply (zenon_L657_); trivial. % 1.40/1.54 (* end of lemma zenon_L733_ *) % 1.40/1.54 assert (zenon_L734_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H135 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.54 apply (zenon_L96_); trivial. % 1.40/1.54 apply (zenon_L733_); trivial. % 1.40/1.54 (* end of lemma zenon_L734_ *) % 1.40/1.54 assert (zenon_L735_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.54 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.54 apply (zenon_L243_); trivial. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.54 apply (zenon_L709_); trivial. % 1.40/1.54 apply (zenon_L657_); trivial. % 1.40/1.54 (* end of lemma zenon_L735_ *) % 1.40/1.54 assert (zenon_L736_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> False). % 1.40/1.54 do 0 intro. intros zenon_H135 zenon_H102 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.40/1.54 apply (zenon_L735_); trivial. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.40/1.54 apply (zenon_L87_); trivial. % 1.40/1.54 exact (zenon_H1 zenon_H2). % 1.40/1.54 (* end of lemma zenon_L736_ *) % 1.40/1.54 assert (zenon_L737_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H138 zenon_H102 zenon_H1 zenon_H119 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H54 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H86 zenon_H1e4. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.54 apply (zenon_L244_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.54 apply (zenon_L732_); trivial. % 1.40/1.54 apply (zenon_L736_); trivial. % 1.40/1.54 (* end of lemma zenon_L737_ *) % 1.40/1.54 assert (zenon_L738_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H1e4 zenon_H86 zenon_H54 zenon_H165 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H3c zenon_H40 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H10b zenon_H50 zenon_H119 zenon_H11e zenon_H138 zenon_H1d9. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.54 apply (zenon_L244_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.54 apply (zenon_L732_); trivial. % 1.40/1.54 apply (zenon_L734_); trivial. % 1.40/1.54 apply (zenon_L737_); trivial. % 1.40/1.54 (* end of lemma zenon_L738_ *) % 1.40/1.54 assert (zenon_L739_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H97 zenon_H12 zenon_H5. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c3 ]. % 1.40/1.54 apply (zenon_L657_); trivial. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 1.40/1.54 apply (zenon_L257_); trivial. % 1.40/1.54 exact (zenon_H5 zenon_H6). % 1.40/1.54 (* end of lemma zenon_L739_ *) % 1.40/1.54 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_L96_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L26_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.55 apply (zenon_L668_); trivial. % 1.40/1.55 exact (zenon_H1be zenon_H1bf). % 1.40/1.55 (* end of lemma zenon_L740_ *) % 1.40/1.55 assert (zenon_L741_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L318_); trivial. % 1.40/1.55 apply (zenon_L740_); trivial. % 1.40/1.55 (* end of lemma zenon_L741_ *) % 1.40/1.55 assert (zenon_L742_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H236 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H22d zenon_H22f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_L370_); trivial. % 1.40/1.55 apply (zenon_L741_); trivial. % 1.40/1.55 (* end of lemma zenon_L742_ *) % 1.40/1.55 assert (zenon_L743_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H235 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H22d zenon_H22f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H221 zenon_H40. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.40/1.55 apply (zenon_L659_); trivial. % 1.40/1.55 apply (zenon_L742_); trivial. % 1.40/1.55 (* end of lemma zenon_L743_ *) % 1.40/1.55 assert (zenon_L744_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_L71_); trivial. % 1.40/1.55 (* end of lemma zenon_L744_ *) % 1.40/1.55 assert (zenon_L745_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp11)) -> (~(hskp26)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H103 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H4d zenon_H4b zenon_H30 zenon_H31 zenon_H32 zenon_H50 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.55 apply (zenon_L478_); trivial. % 1.40/1.55 apply (zenon_L72_); trivial. % 1.40/1.55 (* end of lemma zenon_L745_ *) % 1.40/1.55 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H50 zenon_H4b zenon_H4d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H103 zenon_H1be. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.55 apply (zenon_L745_); trivial. % 1.40/1.55 exact (zenon_H1be zenon_H1bf). % 1.40/1.55 (* end of lemma zenon_L746_ *) % 1.40/1.55 assert (zenon_L747_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H50 zenon_H4d zenon_H4b zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L26_); trivial. % 1.40/1.55 apply (zenon_L746_); trivial. % 1.40/1.55 (* end of lemma zenon_L747_ *) % 1.40/1.55 assert (zenon_L748_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp4)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H81 zenon_H102 zenon_He8 zenon_Hea zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H1. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.55 apply (zenon_L84_); trivial. % 1.40/1.55 apply (zenon_L86_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.40/1.55 apply (zenon_L87_); trivial. % 1.40/1.55 exact (zenon_H1 zenon_H2). % 1.40/1.55 (* end of lemma zenon_L748_ *) % 1.40/1.55 assert (zenon_L749_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H80 zenon_H102 zenon_H1 zenon_Hea zenon_He8 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H4d zenon_H50 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L747_); trivial. % 1.40/1.55 apply (zenon_L748_); trivial. % 1.40/1.55 (* end of lemma zenon_L749_ *) % 1.40/1.55 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H10b zenon_H1 zenon_H102 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H80 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H71 zenon_H7e zenon_H11e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_L283_); trivial. % 1.40/1.55 apply (zenon_L688_); trivial. % 1.40/1.55 (* end of lemma zenon_L750_ *) % 1.40/1.55 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H1d8 zenon_H103 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.55 apply (zenon_L222_); trivial. % 1.40/1.55 apply (zenon_L657_); trivial. % 1.40/1.55 (* end of lemma zenon_L751_ *) % 1.40/1.55 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H209 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.40/1.55 apply (zenon_L705_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.40/1.55 apply (zenon_L279_); trivial. % 1.40/1.55 exact (zenon_H207 zenon_H208). % 1.40/1.55 (* end of lemma zenon_L752_ *) % 1.40/1.55 assert (zenon_L753_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L26_); trivial. % 1.40/1.55 apply (zenon_L752_); trivial. % 1.40/1.55 (* end of lemma zenon_L753_ *) % 1.40/1.55 assert (zenon_L754_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H119 zenon_H102 zenon_H1 zenon_H1c4 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H40. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.55 apply (zenon_L753_); trivial. % 1.40/1.55 apply (zenon_L716_); trivial. % 1.40/1.55 (* end of lemma zenon_L754_ *) % 1.40/1.55 assert (zenon_L755_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hec zenon_H80 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L23_); trivial. % 1.40/1.55 apply (zenon_L70_); trivial. % 1.40/1.55 (* end of lemma zenon_L755_ *) % 1.40/1.55 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_Hef zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H10b zenon_H10d zenon_H108. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.55 apply (zenon_L4_); trivial. % 1.40/1.55 apply (zenon_L755_); trivial. % 1.40/1.55 apply (zenon_L454_); trivial. % 1.40/1.55 apply (zenon_L720_); trivial. % 1.40/1.55 (* end of lemma zenon_L756_ *) % 1.40/1.55 assert (zenon_L757_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_Hd4 zenon_Hd2 zenon_H190 zenon_H191 zenon_H192 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1a2 zenon_H124. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L702_); trivial. % 1.40/1.55 apply (zenon_L756_); trivial. % 1.40/1.55 apply (zenon_L721_); trivial. % 1.40/1.55 (* end of lemma zenon_L757_ *) % 1.40/1.55 assert (zenon_L758_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp28)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H7e zenon_Hb zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L550_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.55 apply (zenon_L674_); trivial. % 1.40/1.55 exact (zenon_H55 zenon_H56). % 1.40/1.55 (* end of lemma zenon_L758_ *) % 1.40/1.55 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hbf zenon_H231 zenon_H5 zenon_H30 zenon_H31 zenon_H32 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12a zenon_H12b zenon_H12c. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.40/1.55 apply (zenon_L667_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L64_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.55 apply (zenon_L67_); trivial. % 1.40/1.55 exact (zenon_H55 zenon_H56). % 1.40/1.55 apply (zenon_L108_); trivial. % 1.40/1.55 (* end of lemma zenon_L759_ *) % 1.40/1.55 assert (zenon_L760_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H55 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.55 apply (zenon_L58_); trivial. % 1.40/1.55 apply (zenon_L759_); trivial. % 1.40/1.55 (* end of lemma zenon_L760_ *) % 1.40/1.55 assert (zenon_L761_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H81 zenon_H54 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.55 apply (zenon_L63_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L758_); trivial. % 1.40/1.55 apply (zenon_L760_); trivial. % 1.40/1.55 (* end of lemma zenon_L761_ *) % 1.40/1.55 assert (zenon_L762_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hef zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.55 apply (zenon_L4_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L23_); trivial. % 1.40/1.55 apply (zenon_L761_); trivial. % 1.40/1.55 (* end of lemma zenon_L762_ *) % 1.40/1.55 assert (zenon_L763_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.55 apply (zenon_L64_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.55 apply (zenon_L97_); trivial. % 1.40/1.55 apply (zenon_L657_); trivial. % 1.40/1.55 (* end of lemma zenon_L763_ *) % 1.40/1.55 assert (zenon_L764_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H13 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.55 generalize (zenon_H13 (a798)). zenon_intro zenon_H297. % 1.40/1.55 apply (zenon_imply_s _ _ zenon_H297); [ zenon_intro zenon_H11 | zenon_intro zenon_H298 ]. % 1.40/1.55 exact (zenon_H11 zenon_H12). % 1.40/1.55 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 1.40/1.55 generalize (zenon_Ha0 (a798)). zenon_intro zenon_H29b. % 1.40/1.55 apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_H11 | zenon_intro zenon_H29c ]. % 1.40/1.55 exact (zenon_H11 zenon_H12). % 1.40/1.55 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H292 | zenon_intro zenon_H29d ]. % 1.40/1.55 exact (zenon_H28c zenon_H292). % 1.40/1.55 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29e | zenon_intro zenon_H293 ]. % 1.40/1.55 exact (zenon_H29e zenon_H29a). % 1.40/1.55 exact (zenon_H293 zenon_H28e). % 1.40/1.55 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H292 | zenon_intro zenon_H294 ]. % 1.40/1.55 exact (zenon_H28c zenon_H292). % 1.40/1.55 exact (zenon_H294 zenon_H28d). % 1.40/1.55 (* end of lemma zenon_L764_ *) % 1.40/1.55 assert (zenon_L765_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.55 do 0 intro. intros zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.55 apply (zenon_L763_); trivial. % 1.40/1.55 apply (zenon_L764_); trivial. % 1.40/1.55 (* end of lemma zenon_L765_ *) % 1.40/1.55 assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.55 apply (zenon_L161_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.55 apply (zenon_L718_); trivial. % 1.40/1.55 apply (zenon_L765_); trivial. % 1.40/1.55 (* end of lemma zenon_L766_ *) % 1.40/1.55 assert (zenon_L767_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H50 zenon_H4d zenon_H4b zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L109_); trivial. % 1.40/1.55 apply (zenon_L746_); trivial. % 1.40/1.55 (* end of lemma zenon_L767_ *) % 1.40/1.55 assert (zenon_L768_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H11e zenon_Hea zenon_He8 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H1be zenon_H21d zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_L96_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L767_); trivial. % 1.40/1.55 apply (zenon_L748_); trivial. % 1.40/1.55 (* end of lemma zenon_L768_ *) % 1.40/1.55 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H108 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H80 zenon_Hef. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.55 apply (zenon_L762_); trivial. % 1.40/1.55 apply (zenon_L120_); trivial. % 1.40/1.55 (* end of lemma zenon_L769_ *) % 1.40/1.55 assert (zenon_L770_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H12 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_L218_); trivial. % 1.40/1.55 apply (zenon_L255_); trivial. % 1.40/1.55 (* end of lemma zenon_L770_ *) % 1.40/1.55 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_L218_); trivial. % 1.40/1.55 apply (zenon_L679_); trivial. % 1.40/1.55 (* end of lemma zenon_L771_ *) % 1.40/1.55 assert (zenon_L772_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_H1be zenon_H1c2 zenon_H5 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L770_); trivial. % 1.40/1.55 apply (zenon_L771_); trivial. % 1.40/1.55 (* end of lemma zenon_L772_ *) % 1.40/1.55 assert (zenon_L773_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H124 zenon_H108 zenon_H1ae zenon_H1ad zenon_Haa zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_H71 zenon_H233 zenon_Hd4 zenon_Hd2 zenon_Hc2 zenon_H80 zenon_Hef zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L155_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.55 apply (zenon_L4_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L23_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.55 apply (zenon_L27_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L325_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.55 apply (zenon_L36_); trivial. % 1.40/1.55 exact (zenon_H55 zenon_H56). % 1.40/1.55 apply (zenon_L68_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.55 apply (zenon_L55_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.55 apply (zenon_L27_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.55 apply (zenon_L82_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.55 apply (zenon_L325_); trivial. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_L68_); trivial. % 1.40/1.55 (* end of lemma zenon_L773_ *) % 1.40/1.55 assert (zenon_L774_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L155_); trivial. % 1.40/1.55 apply (zenon_L740_); trivial. % 1.40/1.55 (* end of lemma zenon_L774_ *) % 1.40/1.55 assert (zenon_L775_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp11)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H18c zenon_H27f zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H4d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.40/1.55 apply (zenon_L739_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.40/1.55 apply (zenon_L136_); trivial. % 1.40/1.55 exact (zenon_H4d zenon_H4e). % 1.40/1.55 (* end of lemma zenon_L775_ *) % 1.40/1.55 assert (zenon_L776_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_L407_); trivial. % 1.40/1.55 apply (zenon_L736_); trivial. % 1.40/1.55 (* end of lemma zenon_L776_ *) % 1.40/1.55 assert (zenon_L777_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H20b zenon_H103 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H119 zenon_H1 zenon_H102 zenon_H138 zenon_H1e4 zenon_H86 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H27f zenon_H1d9. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.55 apply (zenon_L244_); trivial. % 1.40/1.55 apply (zenon_L775_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.55 apply (zenon_L776_); trivial. % 1.40/1.55 apply (zenon_L751_); trivial. % 1.40/1.55 (* end of lemma zenon_L777_ *) % 1.40/1.55 assert (zenon_L778_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.55 apply (zenon_L662_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.55 apply (zenon_L375_); trivial. % 1.40/1.55 apply (zenon_L72_); trivial. % 1.40/1.55 (* end of lemma zenon_L778_ *) % 1.40/1.55 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1be. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.55 apply (zenon_L662_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.55 apply (zenon_L778_); trivial. % 1.40/1.55 exact (zenon_H1be zenon_H1bf). % 1.40/1.55 (* end of lemma zenon_L779_ *) % 1.40/1.55 assert (zenon_L780_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.55 apply (zenon_L96_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.55 apply (zenon_L26_); trivial. % 1.40/1.55 apply (zenon_L779_); trivial. % 1.40/1.55 (* end of lemma zenon_L780_ *) % 1.40/1.55 assert (zenon_L781_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L318_); trivial. % 1.40/1.55 apply (zenon_L780_); trivial. % 1.40/1.55 (* end of lemma zenon_L781_ *) % 1.40/1.55 assert (zenon_L782_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H235 zenon_H138 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.40/1.55 apply (zenon_L315_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_L666_); trivial. % 1.40/1.55 apply (zenon_L781_); trivial. % 1.40/1.55 (* end of lemma zenon_L782_ *) % 1.40/1.55 assert (zenon_L783_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H138 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.55 apply (zenon_L682_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.55 apply (zenon_L155_); trivial. % 1.40/1.55 apply (zenon_L780_); trivial. % 1.40/1.55 (* end of lemma zenon_L783_ *) % 1.40/1.55 assert (zenon_L784_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H235 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.40/1.56 apply (zenon_L315_); trivial. % 1.40/1.56 apply (zenon_L693_); trivial. % 1.40/1.56 (* end of lemma zenon_L784_ *) % 1.40/1.56 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H125 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.56 apply (zenon_L705_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.56 apply (zenon_L332_); trivial. % 1.40/1.56 exact (zenon_H5 zenon_H6). % 1.40/1.56 (* end of lemma zenon_L785_ *) % 1.40/1.56 assert (zenon_L786_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.56 apply (zenon_L560_); trivial. % 1.40/1.56 apply (zenon_L714_); trivial. % 1.40/1.56 (* end of lemma zenon_L786_ *) % 1.40/1.56 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_Hea zenon_H3c zenon_H119 zenon_H102 zenon_H1 zenon_H138 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H40. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L26_); trivial. % 1.40/1.56 apply (zenon_L785_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.56 apply (zenon_L786_); trivial. % 1.40/1.56 apply (zenon_L153_); trivial. % 1.40/1.56 (* end of lemma zenon_L787_ *) % 1.40/1.56 assert (zenon_L788_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H103 zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.56 apply (zenon_L266_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.56 apply (zenon_L307_); trivial. % 1.40/1.56 apply (zenon_L657_); trivial. % 1.40/1.56 (* end of lemma zenon_L788_ *) % 1.40/1.56 assert (zenon_L789_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H3b zenon_H21d zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_H88 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H84 zenon_H86 zenon_H103 zenon_H1be. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.56 apply (zenon_L266_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.56 apply (zenon_L788_); trivial. % 1.40/1.56 exact (zenon_H1be zenon_H1bf). % 1.40/1.56 (* end of lemma zenon_L789_ *) % 1.40/1.56 assert (zenon_L790_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L91_); trivial. % 1.40/1.56 apply (zenon_L789_); trivial. % 1.40/1.56 (* end of lemma zenon_L790_ *) % 1.40/1.56 assert (zenon_L791_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L790_); trivial. % 1.40/1.56 apply (zenon_L22_); trivial. % 1.40/1.56 (* end of lemma zenon_L791_ *) % 1.40/1.56 assert (zenon_L792_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.40/1.56 apply (zenon_L46_); trivial. % 1.40/1.56 apply (zenon_L60_); trivial. % 1.40/1.56 (* end of lemma zenon_L792_ *) % 1.40/1.56 assert (zenon_L793_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2e zenon_H71 zenon_H8a zenon_H8c zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.56 apply (zenon_L58_); trivial. % 1.40/1.56 apply (zenon_L792_); trivial. % 1.40/1.56 (* end of lemma zenon_L793_ *) % 1.40/1.56 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H2e zenon_H8a zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L790_); trivial. % 1.40/1.56 apply (zenon_L793_); trivial. % 1.40/1.56 (* end of lemma zenon_L794_ *) % 1.40/1.56 assert (zenon_L795_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H32 zenon_H31 zenon_H30 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.56 apply (zenon_L385_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.56 apply (zenon_L307_); trivial. % 1.40/1.56 apply (zenon_L657_); trivial. % 1.40/1.56 (* end of lemma zenon_L795_ *) % 1.40/1.56 assert (zenon_L796_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L91_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.56 apply (zenon_L739_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.56 apply (zenon_L795_); trivial. % 1.40/1.56 exact (zenon_H1be zenon_H1bf). % 1.40/1.56 (* end of lemma zenon_L796_ *) % 1.40/1.56 assert (zenon_L797_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L796_); trivial. % 1.40/1.56 apply (zenon_L22_); trivial. % 1.40/1.56 (* end of lemma zenon_L797_ *) % 1.40/1.56 assert (zenon_L798_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H81 zenon_H54 zenon_H8a zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L63_); trivial. % 1.40/1.56 apply (zenon_L793_); trivial. % 1.40/1.56 (* end of lemma zenon_L798_ *) % 1.40/1.56 assert (zenon_L799_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8a zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hd zenon_Hac. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.56 apply (zenon_L791_); trivial. % 1.40/1.56 apply (zenon_L794_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.56 apply (zenon_L797_); trivial. % 1.40/1.56 apply (zenon_L798_); trivial. % 1.40/1.56 apply (zenon_L255_); trivial. % 1.40/1.56 (* end of lemma zenon_L799_ *) % 1.40/1.56 assert (zenon_L800_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_Hd4 zenon_H55 zenon_H57 zenon_H59 zenon_Hac zenon_Hd zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_L799_); trivial. % 1.40/1.56 apply (zenon_L744_); trivial. % 1.40/1.56 (* end of lemma zenon_L800_ *) % 1.40/1.56 assert (zenon_L801_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H138 zenon_He8 zenon_Hea zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_H59 zenon_H57 zenon_H55 zenon_Hd4 zenon_Hd2 zenon_H7e zenon_H124. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.56 apply (zenon_L800_); trivial. % 1.40/1.56 apply (zenon_L377_); trivial. % 1.40/1.56 (* end of lemma zenon_L801_ *) % 1.40/1.56 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L343_); trivial. % 1.40/1.56 apply (zenon_L789_); trivial. % 1.40/1.56 (* end of lemma zenon_L802_ *) % 1.40/1.56 assert (zenon_L803_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L44_); trivial. % 1.40/1.56 apply (zenon_L802_); trivial. % 1.40/1.56 (* end of lemma zenon_L803_ *) % 1.40/1.56 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Had zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.56 apply (zenon_L797_); trivial. % 1.40/1.56 apply (zenon_L761_); trivial. % 1.40/1.56 (* end of lemma zenon_L804_ *) % 1.40/1.56 assert (zenon_L805_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hac zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H133 zenon_H55 zenon_H7e zenon_Hc2 zenon_Hb2 zenon_Hb4 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.56 apply (zenon_L803_); trivial. % 1.40/1.56 apply (zenon_L804_); trivial. % 1.40/1.56 (* end of lemma zenon_L805_ *) % 1.40/1.56 assert (zenon_L806_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H121 zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hd7 zenon_Hd9 zenon_H103 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L109_); trivial. % 1.40/1.56 apply (zenon_L779_); trivial. % 1.40/1.56 (* end of lemma zenon_L806_ *) % 1.40/1.56 assert (zenon_L807_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_L218_); trivial. % 1.40/1.56 apply (zenon_L806_); trivial. % 1.40/1.56 (* end of lemma zenon_L807_ *) % 1.40/1.56 assert (zenon_L808_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_L770_); trivial. % 1.40/1.56 apply (zenon_L807_); trivial. % 1.40/1.56 (* end of lemma zenon_L808_ *) % 1.40/1.56 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp8)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H121 zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13b zenon_H13a zenon_H139 zenon_H55. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.56 apply (zenon_L763_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.56 apply (zenon_L117_); trivial. % 1.40/1.56 exact (zenon_H55 zenon_H56). % 1.40/1.56 (* end of lemma zenon_L809_ *) % 1.40/1.56 assert (zenon_L810_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_L770_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_L218_); trivial. % 1.40/1.56 apply (zenon_L809_); trivial. % 1.40/1.56 (* end of lemma zenon_L810_ *) % 1.40/1.56 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_Hef zenon_H231 zenon_H133 zenon_H55 zenon_H7e zenon_H2a zenon_H1 zenon_H7 zenon_H139 zenon_H13a zenon_H13b zenon_H108 zenon_H124. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_L799_); trivial. % 1.40/1.56 apply (zenon_L769_); trivial. % 1.40/1.56 apply (zenon_L810_); trivial. % 1.40/1.56 (* end of lemma zenon_L811_ *) % 1.40/1.56 assert (zenon_L812_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H11e zenon_H1f2 zenon_H80 zenon_Hc2 zenon_H2e zenon_H8c zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H3c zenon_Hf zenon_Hac zenon_Hef zenon_H231 zenon_H133 zenon_H2a zenon_H1 zenon_H7 zenon_H108 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.56 apply (zenon_L216_); trivial. % 1.40/1.56 apply (zenon_L811_); trivial. % 1.40/1.56 (* end of lemma zenon_L812_ *) % 1.40/1.56 assert (zenon_L813_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L27_); trivial. % 1.40/1.56 apply (zenon_L802_); trivial. % 1.40/1.56 (* end of lemma zenon_L813_ *) % 1.40/1.56 assert (zenon_L814_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.40/1.56 do 0 intro. intros zenon_Haa zenon_H55 zenon_H90 zenon_H8e zenon_H42 zenon_H43 zenon_H44 zenon_H7e zenon_H32 zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.56 apply (zenon_L303_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.56 apply (zenon_L302_); trivial. % 1.40/1.56 apply (zenon_L52_); trivial. % 1.40/1.56 (* end of lemma zenon_L814_ *) % 1.40/1.56 assert (zenon_L815_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a840))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H21d zenon_H1be zenon_Haa zenon_H7e zenon_H8e zenon_H90 zenon_H8f zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L27_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L343_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.56 apply (zenon_L305_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.56 apply (zenon_L814_); trivial. % 1.40/1.56 exact (zenon_H1be zenon_H1bf). % 1.40/1.56 (* end of lemma zenon_L815_ *) % 1.40/1.56 assert (zenon_L816_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H101 zenon_Hac zenon_Haa zenon_H7e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.56 apply (zenon_L813_); trivial. % 1.40/1.56 apply (zenon_L815_); trivial. % 1.40/1.56 (* end of lemma zenon_L816_ *) % 1.40/1.56 assert (zenon_L817_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H108 zenon_Hac zenon_Haa zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2a zenon_H7e zenon_H1c4 zenon_H54 zenon_Hef. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.56 apply (zenon_L395_); trivial. % 1.40/1.56 apply (zenon_L816_); trivial. % 1.40/1.56 (* end of lemma zenon_L817_ *) % 1.40/1.56 assert (zenon_L818_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.56 apply (zenon_L560_); trivial. % 1.40/1.56 apply (zenon_L377_); trivial. % 1.40/1.56 (* end of lemma zenon_L818_ *) % 1.40/1.56 assert (zenon_L819_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hac zenon_H1c2 zenon_H5 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H109 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H3 zenon_H161 zenon_H165 zenon_H54. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L790_); trivial. % 1.40/1.56 apply (zenon_L139_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L796_); trivial. % 1.40/1.56 apply (zenon_L139_); trivial. % 1.40/1.56 (* end of lemma zenon_L819_ *) % 1.40/1.56 assert (zenon_L820_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_Hf6 zenon_H30 zenon_H31 zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.40/1.56 apply (zenon_L297_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.40/1.56 apply (zenon_L59_); trivial. % 1.40/1.56 apply (zenon_L124_); trivial. % 1.40/1.56 (* end of lemma zenon_L820_ *) % 1.40/1.56 assert (zenon_L821_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.40/1.56 apply (zenon_L820_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.40/1.56 apply (zenon_L141_); trivial. % 1.40/1.56 apply (zenon_L108_); trivial. % 1.40/1.56 (* end of lemma zenon_L821_ *) % 1.40/1.56 assert (zenon_L822_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.56 apply (zenon_L64_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.56 apply (zenon_L709_); trivial. % 1.40/1.56 apply (zenon_L657_); trivial. % 1.40/1.56 (* end of lemma zenon_L822_ *) % 1.40/1.56 assert (zenon_L823_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.56 apply (zenon_L822_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.56 apply (zenon_L117_); trivial. % 1.40/1.56 exact (zenon_H55 zenon_H56). % 1.40/1.56 (* end of lemma zenon_L823_ *) % 1.40/1.56 assert (zenon_L824_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H40 zenon_H1c4 zenon_H5 zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H139 zenon_H13a zenon_H13b zenon_H55 zenon_H7e zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L91_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.56 apply (zenon_L823_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.56 apply (zenon_L788_); trivial. % 1.40/1.56 exact (zenon_H5 zenon_H6). % 1.40/1.56 (* end of lemma zenon_L824_ *) % 1.40/1.56 assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Had zenon_H54 zenon_H165 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H5 zenon_H1c4 zenon_H40. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L91_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.56 apply (zenon_L823_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.56 apply (zenon_L795_); trivial. % 1.40/1.56 exact (zenon_H5 zenon_H6). % 1.40/1.56 apply (zenon_L707_); trivial. % 1.40/1.56 (* end of lemma zenon_L825_ *) % 1.40/1.56 assert (zenon_L826_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H11d zenon_H11e zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H5 zenon_H1c4 zenon_H40 zenon_H1c2 zenon_Hac. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_L824_); trivial. % 1.40/1.56 apply (zenon_L445_); trivial. % 1.40/1.56 apply (zenon_L825_); trivial. % 1.40/1.56 apply (zenon_L809_); trivial. % 1.40/1.56 (* end of lemma zenon_L826_ *) % 1.40/1.56 assert (zenon_L827_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H103 zenon_H86 zenon_H88 zenon_H1c4 zenon_Hac zenon_H54 zenon_H165 zenon_H10b zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H71 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.56 apply (zenon_L91_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.56 apply (zenon_L739_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.56 apply (zenon_L371_); trivial. % 1.40/1.56 exact (zenon_H1be zenon_H1bf). % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.56 apply (zenon_L739_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.56 apply (zenon_L821_); trivial. % 1.40/1.56 exact (zenon_H1be zenon_H1bf). % 1.40/1.56 apply (zenon_L707_); trivial. % 1.40/1.56 apply (zenon_L255_); trivial. % 1.40/1.56 apply (zenon_L826_); trivial. % 1.40/1.56 (* end of lemma zenon_L827_ *) % 1.40/1.56 assert (zenon_L828_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H178 zenon_H124 zenon_H11e zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H5 zenon_H1c4 zenon_H40 zenon_H1c2 zenon_Hac zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_L155_); trivial. % 1.40/1.56 apply (zenon_L826_); trivial. % 1.40/1.56 (* end of lemma zenon_L828_ *) % 1.40/1.56 assert (zenon_L829_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H187 zenon_H18b zenon_H124 zenon_H11e zenon_H10b zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H88 zenon_H5 zenon_H1c4 zenon_H1c2 zenon_Hac zenon_H86 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hc2 zenon_H138. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.56 apply (zenon_L818_); trivial. % 1.40/1.56 apply (zenon_L828_); trivial. % 1.40/1.56 (* end of lemma zenon_L829_ *) % 1.40/1.56 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H124 zenon_Hd4 zenon_H108 zenon_Hac zenon_H1c2 zenon_H5 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H86 zenon_H88 zenon_H10b zenon_H163 zenon_H2a zenon_H7e zenon_Hef zenon_H1f2 zenon_H11e zenon_H231 zenon_H1c4 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ca zenon_H18b. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.56 apply (zenon_L818_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.56 apply (zenon_L819_); trivial. % 1.40/1.56 apply (zenon_L119_); trivial. % 1.40/1.56 apply (zenon_L120_); trivial. % 1.40/1.56 apply (zenon_L255_); trivial. % 1.40/1.56 apply (zenon_L215_); trivial. % 1.40/1.56 apply (zenon_L827_); trivial. % 1.40/1.56 apply (zenon_L829_); trivial. % 1.40/1.56 (* end of lemma zenon_L830_ *) % 1.40/1.56 assert (zenon_L831_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H80 zenon_Hac. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.57 apply (zenon_L803_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.57 apply (zenon_L797_); trivial. % 1.40/1.57 apply (zenon_L70_); trivial. % 1.40/1.57 apply (zenon_L766_); trivial. % 1.40/1.57 (* end of lemma zenon_L831_ *) % 1.40/1.57 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Had zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.57 apply (zenon_L797_); trivial. % 1.40/1.57 apply (zenon_L95_); trivial. % 1.40/1.57 (* end of lemma zenon_L832_ *) % 1.40/1.57 assert (zenon_L833_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H109 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.57 apply (zenon_L791_); trivial. % 1.40/1.57 apply (zenon_L95_); trivial. % 1.40/1.57 apply (zenon_L832_); trivial. % 1.40/1.57 (* end of lemma zenon_L833_ *) % 1.40/1.57 assert (zenon_L834_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L833_); trivial. % 1.40/1.57 apply (zenon_L255_); trivial. % 1.40/1.57 (* end of lemma zenon_L834_ *) % 1.40/1.57 assert (zenon_L835_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L833_); trivial. % 1.40/1.57 apply (zenon_L766_); trivial. % 1.40/1.57 (* end of lemma zenon_L835_ *) % 1.40/1.57 assert (zenon_L836_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L834_); trivial. % 1.40/1.57 apply (zenon_L835_); trivial. % 1.40/1.57 (* end of lemma zenon_L836_ *) % 1.40/1.57 assert (zenon_L837_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_H7e zenon_H55 zenon_H133 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H80 zenon_Hac. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L805_); trivial. % 1.40/1.57 apply (zenon_L766_); trivial. % 1.40/1.57 (* end of lemma zenon_L837_ *) % 1.40/1.57 assert (zenon_L838_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1ca zenon_H231 zenon_H133 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H1bc zenon_He8 zenon_Hea zenon_Hd4 zenon_H55 zenon_H7e zenon_Hac zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e zenon_H102 zenon_H1 zenon_H10d zenon_H138. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L799_); trivial. % 1.40/1.57 apply (zenon_L831_); trivial. % 1.40/1.57 apply (zenon_L836_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L799_); trivial. % 1.40/1.57 apply (zenon_L837_); trivial. % 1.40/1.57 apply (zenon_L836_); trivial. % 1.40/1.57 (* end of lemma zenon_L838_ *) % 1.40/1.57 assert (zenon_L839_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H108 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H1 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.57 apply (zenon_L238_); trivial. % 1.40/1.57 apply (zenon_L120_); trivial. % 1.40/1.57 (* end of lemma zenon_L839_ *) % 1.40/1.57 assert (zenon_L840_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H135 zenon_H11e zenon_H108 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H2a zenon_H1a2 zenon_Hef zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L96_); trivial. % 1.40/1.57 apply (zenon_L839_); trivial. % 1.40/1.57 (* end of lemma zenon_L840_ *) % 1.40/1.57 assert (zenon_L841_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H138 zenon_H11e zenon_H7 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_L522_); trivial. % 1.40/1.57 apply (zenon_L840_); trivial. % 1.40/1.57 (* end of lemma zenon_L841_ *) % 1.40/1.57 assert (zenon_L842_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H23b zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H1be. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.57 apply (zenon_L389_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.57 apply (zenon_L795_); trivial. % 1.40/1.57 exact (zenon_H1be zenon_H1bf). % 1.40/1.57 (* end of lemma zenon_L842_ *) % 1.40/1.57 assert (zenon_L843_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Had zenon_H40 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L26_); trivial. % 1.40/1.57 apply (zenon_L842_); trivial. % 1.40/1.57 (* end of lemma zenon_L843_ *) % 1.40/1.57 assert (zenon_L844_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hac zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L26_); trivial. % 1.40/1.57 apply (zenon_L789_); trivial. % 1.40/1.57 apply (zenon_L843_); trivial. % 1.40/1.57 (* end of lemma zenon_L844_ *) % 1.40/1.57 assert (zenon_L845_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.57 apply (zenon_L207_); trivial. % 1.40/1.57 apply (zenon_L707_); trivial. % 1.40/1.57 (* end of lemma zenon_L845_ *) % 1.40/1.57 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.57 apply (zenon_L161_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.57 apply (zenon_L763_); trivial. % 1.40/1.57 apply (zenon_L229_); trivial. % 1.40/1.57 (* end of lemma zenon_L846_ *) % 1.40/1.57 assert (zenon_L847_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L845_); trivial. % 1.40/1.57 apply (zenon_L846_); trivial. % 1.40/1.57 (* end of lemma zenon_L847_ *) % 1.40/1.57 assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H187 zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H124. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L155_); trivial. % 1.40/1.57 apply (zenon_L847_); trivial. % 1.40/1.57 apply (zenon_L555_); trivial. % 1.40/1.57 (* end of lemma zenon_L848_ *) % 1.40/1.57 assert (zenon_L849_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H165 zenon_H10b zenon_H119 zenon_H11e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138 zenon_H28e zenon_H28d zenon_H28c zenon_H27f zenon_H1d9. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.57 apply (zenon_L556_); trivial. % 1.40/1.57 apply (zenon_L775_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.57 apply (zenon_L655_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.57 apply (zenon_L654_); trivial. % 1.40/1.57 apply (zenon_L848_); trivial. % 1.40/1.57 (* end of lemma zenon_L849_ *) % 1.40/1.57 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H165 zenon_H10b zenon_H119 zenon_H11e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H133 zenon_H163 zenon_H108 zenon_H138 zenon_H27f zenon_H1d9 zenon_Hac zenon_H23b zenon_H59 zenon_H55 zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H21d zenon_H40 zenon_H1c2 zenon_H5 zenon_H20b. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.57 apply (zenon_L844_); trivial. % 1.40/1.57 apply (zenon_L751_); trivial. % 1.40/1.57 apply (zenon_L849_); trivial. % 1.40/1.57 (* end of lemma zenon_L850_ *) % 1.40/1.57 assert (zenon_L851_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L91_); trivial. % 1.40/1.57 apply (zenon_L638_); trivial. % 1.40/1.57 (* end of lemma zenon_L851_ *) % 1.40/1.57 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp7)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4f zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H125. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.57 apply (zenon_L396_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.57 apply (zenon_L100_); trivial. % 1.40/1.57 apply (zenon_L19_); trivial. % 1.40/1.57 exact (zenon_H125 zenon_H126). % 1.40/1.57 (* end of lemma zenon_L852_ *) % 1.40/1.57 assert (zenon_L853_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H10b zenon_H109 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.57 apply (zenon_L851_); trivial. % 1.40/1.57 apply (zenon_L852_); trivial. % 1.40/1.57 (* end of lemma zenon_L853_ *) % 1.40/1.57 assert (zenon_L854_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H255 zenon_H1d9 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H40 zenon_H127 zenon_H125 zenon_H10b zenon_H165 zenon_H54 zenon_H86 zenon_H1e4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H1 zenon_H1d4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.40/1.57 apply (zenon_L397_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.57 apply (zenon_L244_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L853_); trivial. % 1.40/1.57 apply (zenon_L733_); trivial. % 1.40/1.57 (* end of lemma zenon_L854_ *) % 1.40/1.57 assert (zenon_L855_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (c3_1 (a800)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H5b zenon_H12 zenon_H244 zenon_H97 zenon_H246. % 1.40/1.57 generalize (zenon_H5b (a800)). zenon_intro zenon_H2a3. % 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a4 ]. % 1.40/1.57 exact (zenon_H11 zenon_H12). % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H24a | zenon_intro zenon_H288 ]. % 1.40/1.57 exact (zenon_H244 zenon_H24a). % 1.40/1.57 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ]. % 1.40/1.57 apply (zenon_L631_); trivial. % 1.40/1.57 exact (zenon_H24b zenon_H246). % 1.40/1.57 (* end of lemma zenon_L855_ *) % 1.40/1.57 assert (zenon_L856_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hb4 zenon_H246 zenon_H97 zenon_H244 zenon_H12 zenon_Hb0 zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb5 ]. % 1.40/1.57 apply (zenon_L855_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb3 ]. % 1.40/1.57 exact (zenon_Hb0 zenon_Hb1). % 1.40/1.57 exact (zenon_Hb2 zenon_Hb3). % 1.40/1.57 (* end of lemma zenon_L856_ *) % 1.40/1.57 assert (zenon_L857_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H103 zenon_Hb2 zenon_Hb0 zenon_H244 zenon_H246 zenon_Hb4 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.57 apply (zenon_L856_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.57 apply (zenon_L222_); trivial. % 1.40/1.57 apply (zenon_L657_); trivial. % 1.40/1.57 (* end of lemma zenon_L857_ *) % 1.40/1.57 assert (zenon_L858_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H71 zenon_H246 zenon_H244 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.40/1.57 apply (zenon_L855_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.40/1.57 apply (zenon_L59_); trivial. % 1.40/1.57 apply (zenon_L257_); trivial. % 1.40/1.57 (* end of lemma zenon_L858_ *) % 1.40/1.57 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hbf zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H244 zenon_H246 zenon_H71 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.57 apply (zenon_L858_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.57 apply (zenon_L222_); trivial. % 1.40/1.57 apply (zenon_L657_); trivial. % 1.40/1.57 (* end of lemma zenon_L859_ *) % 1.40/1.57 assert (zenon_L860_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1d8 zenon_Hc2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H28c zenon_H28d zenon_H28e zenon_H103. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.57 apply (zenon_L857_); trivial. % 1.40/1.57 apply (zenon_L859_); trivial. % 1.40/1.57 (* end of lemma zenon_L860_ *) % 1.40/1.57 assert (zenon_L861_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4f zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_H23b. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.40/1.57 apply (zenon_L298_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.40/1.57 apply (zenon_L279_); trivial. % 1.40/1.57 apply (zenon_L229_); trivial. % 1.40/1.57 apply (zenon_L19_); trivial. % 1.40/1.57 (* end of lemma zenon_L861_ *) % 1.40/1.57 assert (zenon_L862_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.57 apply (zenon_L207_); trivial. % 1.40/1.57 apply (zenon_L861_); trivial. % 1.40/1.57 (* end of lemma zenon_L862_ *) % 1.40/1.57 assert (zenon_L863_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H289 zenon_H255 zenon_H2a5 zenon_H1d9 zenon_H210 zenon_H20f zenon_H23b zenon_H10b zenon_H119 zenon_H11e zenon_H86 zenon_H1e4 zenon_H138 zenon_H102 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H20b zenon_H244 zenon_H245 zenon_H246 zenon_H1 zenon_H1d4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.40/1.57 apply (zenon_L397_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.57 apply (zenon_L409_); trivial. % 1.40/1.57 apply (zenon_L860_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.57 apply (zenon_L244_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L862_); trivial. % 1.40/1.57 apply (zenon_L733_); trivial. % 1.40/1.57 apply (zenon_L408_); trivial. % 1.40/1.57 (* end of lemma zenon_L863_ *) % 1.40/1.57 assert (zenon_L864_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H155 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H153. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.40/1.57 apply (zenon_L667_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.40/1.57 apply (zenon_L420_); trivial. % 1.40/1.57 exact (zenon_H153 zenon_H154). % 1.40/1.57 (* end of lemma zenon_L864_ *) % 1.40/1.57 assert (zenon_L865_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L26_); trivial. % 1.40/1.57 apply (zenon_L864_); trivial. % 1.40/1.57 (* end of lemma zenon_L865_ *) % 1.40/1.57 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp14)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H3b zenon_H1d6 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H25a zenon_H258 zenon_H264 zenon_H161. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1d7 ]. % 1.40/1.57 apply (zenon_L667_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H14f | zenon_intro zenon_H162 ]. % 1.40/1.57 apply (zenon_L420_); trivial. % 1.40/1.57 exact (zenon_H161 zenon_H162). % 1.40/1.57 (* end of lemma zenon_L866_ *) % 1.40/1.57 assert (zenon_L867_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L26_); trivial. % 1.40/1.57 apply (zenon_L866_); trivial. % 1.40/1.57 (* end of lemma zenon_L867_ *) % 1.40/1.57 assert (zenon_L868_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H138 zenon_H124 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.57 apply (zenon_L708_); trivial. % 1.40/1.57 apply (zenon_L573_); trivial. % 1.40/1.57 (* end of lemma zenon_L868_ *) % 1.40/1.57 assert (zenon_L869_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.57 apply (zenon_L144_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.57 apply (zenon_L432_); trivial. % 1.40/1.57 apply (zenon_L657_); trivial. % 1.40/1.57 (* end of lemma zenon_L869_ *) % 1.40/1.57 assert (zenon_L870_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_Hc6 zenon_Hc5 zenon_H97 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.40/1.57 apply (zenon_L442_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.40/1.57 apply (zenon_L144_); trivial. % 1.40/1.57 apply (zenon_L108_); trivial. % 1.40/1.57 (* end of lemma zenon_L870_ *) % 1.40/1.57 assert (zenon_L871_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H54 zenon_H5 zenon_H1c2 zenon_H10b zenon_H109 zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H4d zenon_H27f zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.57 apply (zenon_L91_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.57 apply (zenon_L869_); trivial. % 1.40/1.57 apply (zenon_L870_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 exact (zenon_H4d zenon_H4e). % 1.40/1.57 apply (zenon_L707_); trivial. % 1.40/1.57 (* end of lemma zenon_L871_ *) % 1.40/1.57 assert (zenon_L872_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H7e zenon_H110 zenon_H111 zenon_H112 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.57 apply (zenon_L763_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.57 apply (zenon_L869_); trivial. % 1.40/1.57 exact (zenon_H55 zenon_H56). % 1.40/1.57 (* end of lemma zenon_L872_ *) % 1.40/1.57 assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H121 zenon_H27f zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H15a zenon_H159 zenon_H158 zenon_H4d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.40/1.57 apply (zenon_L872_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 exact (zenon_H4d zenon_H4e). % 1.40/1.57 (* end of lemma zenon_L873_ *) % 1.40/1.57 assert (zenon_L874_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H55 zenon_H7e zenon_H40 zenon_H27f zenon_H4d zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H165 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L871_); trivial. % 1.40/1.57 apply (zenon_L873_); trivial. % 1.40/1.57 (* end of lemma zenon_L874_ *) % 1.40/1.57 assert (zenon_L875_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H55 zenon_H7e zenon_H40 zenon_H27f zenon_H4d zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H231 zenon_H165 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L155_); trivial. % 1.40/1.57 apply (zenon_L874_); trivial. % 1.40/1.57 (* end of lemma zenon_L875_ *) % 1.40/1.57 assert (zenon_L876_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H11d zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H165 zenon_H10b zenon_H54. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.57 apply (zenon_L446_); trivial. % 1.40/1.57 apply (zenon_L809_); trivial. % 1.40/1.57 (* end of lemma zenon_L876_ *) % 1.40/1.57 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H55 zenon_H7e zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.57 apply (zenon_L440_); trivial. % 1.40/1.57 apply (zenon_L876_); trivial. % 1.40/1.57 (* end of lemma zenon_L877_ *) % 1.40/1.57 assert (zenon_L878_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.57 apply (zenon_L216_); trivial. % 1.40/1.57 apply (zenon_L877_); trivial. % 1.40/1.57 (* end of lemma zenon_L878_ *) % 1.40/1.57 assert (zenon_L879_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_Hea zenon_H7e zenon_H86 zenon_H185 zenon_H3c zenon_H165 zenon_H54 zenon_H10b zenon_H231 zenon_H4d zenon_H27f zenon_H11e zenon_H1ca zenon_H1d6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.57 apply (zenon_L865_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.57 apply (zenon_L867_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.57 apply (zenon_L868_); trivial. % 1.40/1.57 apply (zenon_L875_); trivial. % 1.40/1.57 apply (zenon_L878_); trivial. % 1.40/1.57 (* end of lemma zenon_L879_ *) % 1.40/1.57 assert (zenon_L880_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H7e zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.57 apply (zenon_L325_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.57 apply (zenon_L433_); trivial. % 1.40/1.57 exact (zenon_H55 zenon_H56). % 1.40/1.57 (* end of lemma zenon_L880_ *) % 1.40/1.57 assert (zenon_L881_ : (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp29)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H233 zenon_H17e zenon_H17d zenon_H17c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hb0 zenon_H7e zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.57 apply (zenon_L880_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.57 apply (zenon_L15_); trivial. % 1.40/1.57 exact (zenon_He8 zenon_He9). % 1.40/1.57 (* end of lemma zenon_L881_ *) % 1.40/1.57 assert (zenon_L882_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.57 apply (zenon_L64_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.57 apply (zenon_L709_); trivial. % 1.40/1.57 apply (zenon_L72_); trivial. % 1.40/1.57 (* end of lemma zenon_L882_ *) % 1.40/1.57 assert (zenon_L883_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c3_1 (a829)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H41 zenon_H12 zenon_Hb6 zenon_Hb8 zenon_H2a6. % 1.40/1.57 generalize (zenon_H41 (a829)). zenon_intro zenon_H2a7. % 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a8 ]. % 1.40/1.57 exact (zenon_H11 zenon_H12). % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_Hbc | zenon_intro zenon_H2a9 ]. % 1.40/1.57 exact (zenon_Hbc zenon_Hb6). % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_Hbd | zenon_intro zenon_H2aa ]. % 1.40/1.57 exact (zenon_Hbd zenon_Hb8). % 1.40/1.57 exact (zenon_H2aa zenon_H2a6). % 1.40/1.57 (* end of lemma zenon_L883_ *) % 1.40/1.57 assert (zenon_L884_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hd6 zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8. % 1.40/1.57 generalize (zenon_Hd6 (a829)). zenon_intro zenon_H2ab. % 1.40/1.57 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ac ]. % 1.40/1.57 exact (zenon_H11 zenon_H12). % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2ad ]. % 1.40/1.57 apply (zenon_L883_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ]. % 1.40/1.57 exact (zenon_Hbc zenon_Hb6). % 1.40/1.57 exact (zenon_Hbd zenon_Hb8). % 1.40/1.57 (* end of lemma zenon_L884_ *) % 1.40/1.57 assert (zenon_L885_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.57 apply (zenon_L141_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.57 apply (zenon_L432_); trivial. % 1.40/1.57 apply (zenon_L884_); trivial. % 1.40/1.57 (* end of lemma zenon_L885_ *) % 1.40/1.57 assert (zenon_L886_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hb8 zenon_Hb6 zenon_H41 zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.57 apply (zenon_L882_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.57 apply (zenon_L885_); trivial. % 1.40/1.57 exact (zenon_H55 zenon_H56). % 1.40/1.57 (* end of lemma zenon_L886_ *) % 1.40/1.57 assert (zenon_L887_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H165 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.57 apply (zenon_L136_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.57 apply (zenon_L433_); trivial. % 1.40/1.57 apply (zenon_L886_); trivial. % 1.40/1.57 (* end of lemma zenon_L887_ *) % 1.40/1.57 assert (zenon_L888_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H127 zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_Hb6 zenon_Hb8 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_Hea zenon_He8 zenon_H165 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_H125. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.58 apply (zenon_L887_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.58 apply (zenon_L15_); trivial. % 1.40/1.58 exact (zenon_H125 zenon_H126). % 1.40/1.58 (* end of lemma zenon_L888_ *) % 1.40/1.58 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hbf zenon_H125 zenon_H165 zenon_Hea zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H264 zenon_H25a zenon_H258 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55 zenon_H127 zenon_H32 zenon_H31 zenon_H30 zenon_He8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.58 apply (zenon_L888_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.58 apply (zenon_L15_); trivial. % 1.40/1.58 exact (zenon_He8 zenon_He9). % 1.40/1.58 (* end of lemma zenon_L889_ *) % 1.40/1.58 assert (zenon_L890_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H165 zenon_H148 zenon_H147 zenon_H1a4 zenon_H125 zenon_H127 zenon_H7e zenon_H55 zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H17c zenon_H17d zenon_H17e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H233. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.58 apply (zenon_L881_); trivial. % 1.40/1.58 apply (zenon_L889_); trivial. % 1.40/1.58 (* end of lemma zenon_L890_ *) % 1.40/1.58 assert (zenon_L891_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H40 zenon_Hc2 zenon_H165 zenon_H148 zenon_H147 zenon_H1a4 zenon_H125 zenon_H127 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_H233 zenon_H55 zenon_H57 zenon_H59 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L155_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L26_); trivial. % 1.40/1.58 apply (zenon_L890_); trivial. % 1.40/1.58 (* end of lemma zenon_L891_ *) % 1.40/1.58 assert (zenon_L892_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H11e zenon_H231 zenon_H10b zenon_Hd4 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H233 zenon_H119 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H127 zenon_H125 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc2 zenon_H124 zenon_H138. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L708_); trivial. % 1.40/1.58 apply (zenon_L891_); trivial. % 1.40/1.58 apply (zenon_L878_); trivial. % 1.40/1.58 (* end of lemma zenon_L892_ *) % 1.40/1.58 assert (zenon_L893_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1ac zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1d6 zenon_H1ca zenon_H11e zenon_H27f zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H18b zenon_H18a zenon_H1d9. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.58 apply (zenon_L879_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.58 apply (zenon_L865_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.58 apply (zenon_L867_); trivial. % 1.40/1.58 apply (zenon_L892_); trivial. % 1.40/1.58 (* end of lemma zenon_L893_ *) % 1.40/1.58 assert (zenon_L894_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L730_); trivial. % 1.40/1.58 apply (zenon_L864_); trivial. % 1.40/1.58 (* end of lemma zenon_L894_ *) % 1.40/1.58 assert (zenon_L895_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L91_); trivial. % 1.40/1.58 apply (zenon_L864_); trivial. % 1.40/1.58 (* end of lemma zenon_L895_ *) % 1.40/1.58 assert (zenon_L896_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.58 apply (zenon_L895_); trivial. % 1.40/1.58 apply (zenon_L22_); trivial. % 1.40/1.58 (* end of lemma zenon_L896_ *) % 1.40/1.58 assert (zenon_L897_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.58 apply (zenon_L896_); trivial. % 1.40/1.58 apply (zenon_L417_); trivial. % 1.40/1.58 apply (zenon_L255_); trivial. % 1.40/1.58 (* end of lemma zenon_L897_ *) % 1.40/1.58 assert (zenon_L898_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H7e zenon_H86 zenon_H153 zenon_H1e4 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.58 apply (zenon_L234_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.58 apply (zenon_L869_); trivial. % 1.40/1.58 exact (zenon_H55 zenon_H56). % 1.40/1.58 (* end of lemma zenon_L898_ *) % 1.40/1.58 assert (zenon_L899_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H1e4 zenon_H153 zenon_H86 zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.58 apply (zenon_L898_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.58 apply (zenon_L98_); trivial. % 1.40/1.58 apply (zenon_L764_); trivial. % 1.40/1.58 (* end of lemma zenon_L899_ *) % 1.40/1.58 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H86 zenon_H153 zenon_H1e4 zenon_H264 zenon_H25a zenon_H258 zenon_H55 zenon_Haa zenon_H1be. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.58 apply (zenon_L161_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.58 apply (zenon_L718_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.58 apply (zenon_L898_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.58 apply (zenon_L899_); trivial. % 1.40/1.58 exact (zenon_H1be zenon_H1bf). % 1.40/1.58 (* end of lemma zenon_L900_ *) % 1.40/1.58 assert (zenon_L901_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L897_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.58 apply (zenon_L896_); trivial. % 1.40/1.58 apply (zenon_L661_); trivial. % 1.40/1.58 apply (zenon_L900_); trivial. % 1.40/1.58 (* end of lemma zenon_L901_ *) % 1.40/1.58 assert (zenon_L902_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L894_); trivial. % 1.40/1.58 apply (zenon_L901_); trivial. % 1.40/1.58 (* end of lemma zenon_L902_ *) % 1.40/1.58 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H29 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_Hb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.40/1.58 apply (zenon_L527_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.40/1.58 apply (zenon_L11_); trivial. % 1.40/1.58 exact (zenon_Hb zenon_Hc). % 1.40/1.58 (* end of lemma zenon_L903_ *) % 1.40/1.58 assert (zenon_L904_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hb zenon_Hd zenon_Hf. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.40/1.58 apply (zenon_L8_); trivial. % 1.40/1.58 apply (zenon_L903_); trivial. % 1.40/1.58 (* end of lemma zenon_L904_ *) % 1.40/1.58 assert (zenon_L905_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L904_); trivial. % 1.40/1.58 apply (zenon_L864_); trivial. % 1.40/1.58 (* end of lemma zenon_L905_ *) % 1.40/1.58 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L905_); trivial. % 1.40/1.58 apply (zenon_L772_); trivial. % 1.40/1.58 (* end of lemma zenon_L906_ *) % 1.40/1.58 assert (zenon_L907_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L507_); trivial. % 1.40/1.58 apply (zenon_L866_); trivial. % 1.40/1.58 (* end of lemma zenon_L907_ *) % 1.40/1.58 assert (zenon_L908_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L91_); trivial. % 1.40/1.58 apply (zenon_L567_); trivial. % 1.40/1.58 (* end of lemma zenon_L908_ *) % 1.40/1.58 assert (zenon_L909_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H80 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.58 apply (zenon_L908_); trivial. % 1.40/1.58 apply (zenon_L22_); trivial. % 1.40/1.58 apply (zenon_L661_); trivial. % 1.40/1.58 (* end of lemma zenon_L909_ *) % 1.40/1.58 assert (zenon_L910_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H11e zenon_H27f zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H80. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.58 apply (zenon_L909_); trivial. % 1.40/1.58 apply (zenon_L873_); trivial. % 1.40/1.58 (* end of lemma zenon_L910_ *) % 1.40/1.58 assert (zenon_L911_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H27f zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L910_); trivial. % 1.40/1.58 (* end of lemma zenon_L911_ *) % 1.40/1.58 assert (zenon_L912_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H40 zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H264 zenon_H258 zenon_H25a zenon_H86 zenon_H185 zenon_H15a zenon_H159 zenon_H158 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.58 apply (zenon_L441_); trivial. % 1.40/1.58 apply (zenon_L877_); trivial. % 1.40/1.58 (* end of lemma zenon_L912_ *) % 1.40/1.58 assert (zenon_L913_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H27f zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L155_); trivial. % 1.40/1.58 apply (zenon_L910_); trivial. % 1.40/1.58 (* end of lemma zenon_L913_ *) % 1.40/1.58 assert (zenon_L914_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L913_); trivial. % 1.40/1.58 (* end of lemma zenon_L914_ *) % 1.40/1.58 assert (zenon_L915_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H18c zenon_H18a zenon_H1ca zenon_H231 zenon_H54 zenon_H165 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H3c zenon_H40 zenon_H1d6 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1bc zenon_H133 zenon_Hea zenon_H80 zenon_H10d zenon_H125 zenon_H127 zenon_Hd4 zenon_H55 zenon_H119 zenon_H7e zenon_H10b zenon_H4d zenon_H50 zenon_H27f zenon_H11e zenon_H124 zenon_H138 zenon_H18b. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L911_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L874_); trivial. % 1.40/1.58 apply (zenon_L912_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.58 apply (zenon_L914_); trivial. % 1.40/1.58 apply (zenon_L875_); trivial. % 1.40/1.58 apply (zenon_L912_); trivial. % 1.40/1.58 (* end of lemma zenon_L915_ *) % 1.40/1.58 assert (zenon_L916_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H27f zenon_H12c zenon_H12b zenon_H12a zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H4d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.40/1.58 apply (zenon_L319_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.40/1.58 apply (zenon_L136_); trivial. % 1.40/1.58 exact (zenon_H4d zenon_H4e). % 1.40/1.58 (* end of lemma zenon_L916_ *) % 1.40/1.58 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H27f zenon_H4d zenon_H15a zenon_H159 zenon_H158 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L155_); trivial. % 1.40/1.58 apply (zenon_L916_); trivial. % 1.40/1.58 (* end of lemma zenon_L917_ *) % 1.40/1.58 assert (zenon_L918_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_Hea zenon_H119 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.58 apply (zenon_L493_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.58 apply (zenon_L494_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.58 apply (zenon_L914_); trivial. % 1.40/1.58 apply (zenon_L917_); trivial. % 1.40/1.58 apply (zenon_L878_); trivial. % 1.40/1.58 (* end of lemma zenon_L918_ *) % 1.40/1.58 assert (zenon_L919_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.58 apply (zenon_L730_); trivial. % 1.40/1.58 apply (zenon_L706_); trivial. % 1.40/1.58 (* end of lemma zenon_L919_ *) % 1.40/1.58 assert (zenon_L920_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.58 apply (zenon_L882_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.58 apply (zenon_L674_); trivial. % 1.40/1.58 exact (zenon_H55 zenon_H56). % 1.40/1.58 (* end of lemma zenon_L920_ *) % 1.40/1.58 assert (zenon_L921_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hea zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H42 zenon_H5 zenon_H119 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.58 apply (zenon_L920_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.58 apply (zenon_L101_); trivial. % 1.40/1.58 exact (zenon_He8 zenon_He9). % 1.40/1.58 (* end of lemma zenon_L921_ *) % 1.40/1.58 assert (zenon_L922_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4f zenon_H127 zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hea zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.58 apply (zenon_L921_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.58 apply (zenon_L101_); trivial. % 1.40/1.58 exact (zenon_H125 zenon_H126). % 1.40/1.58 (* end of lemma zenon_L922_ *) % 1.40/1.58 assert (zenon_L923_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H7e zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H28e zenon_H28d zenon_H28c zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.58 apply (zenon_L822_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.58 apply (zenon_L869_); trivial. % 1.40/1.58 exact (zenon_H55 zenon_H56). % 1.40/1.58 (* end of lemma zenon_L923_ *) % 1.40/1.58 assert (zenon_L924_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.58 apply (zenon_L161_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.58 apply (zenon_L169_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.58 apply (zenon_L923_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.58 apply (zenon_L822_); trivial. % 1.40/1.58 apply (zenon_L764_); trivial. % 1.40/1.58 (* end of lemma zenon_L924_ *) % 1.40/1.58 assert (zenon_L925_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp5)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H121 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H264 zenon_H25a zenon_H258 zenon_H55 zenon_Haa zenon_H1c2 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H5. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.58 apply (zenon_L924_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.58 apply (zenon_L161_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.58 apply (zenon_L718_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.58 apply (zenon_L872_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.58 apply (zenon_L98_); trivial. % 1.40/1.58 apply (zenon_L764_); trivial. % 1.40/1.58 exact (zenon_H5 zenon_H6). % 1.40/1.58 (* end of lemma zenon_L925_ *) % 1.40/1.58 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H55 zenon_H7e zenon_H125 zenon_H127 zenon_H54. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.58 apply (zenon_L895_); trivial. % 1.40/1.58 apply (zenon_L922_); trivial. % 1.40/1.58 apply (zenon_L925_); trivial. % 1.40/1.58 (* end of lemma zenon_L926_ *) % 1.40/1.58 assert (zenon_L927_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H54 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L919_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L926_); trivial. % 1.40/1.58 (* end of lemma zenon_L927_ *) % 1.40/1.58 assert (zenon_L928_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H178 zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L894_); trivial. % 1.40/1.58 apply (zenon_L810_); trivial. % 1.40/1.58 (* end of lemma zenon_L928_ *) % 1.40/1.58 assert (zenon_L929_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H55 zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L894_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L155_); trivial. % 1.40/1.58 apply (zenon_L926_); trivial. % 1.40/1.58 (* end of lemma zenon_L929_ *) % 1.40/1.58 assert (zenon_L930_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H109 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.58 apply (zenon_L908_); trivial. % 1.40/1.58 apply (zenon_L707_); trivial. % 1.40/1.58 (* end of lemma zenon_L930_ *) % 1.40/1.58 assert (zenon_L931_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H1c4 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H1a2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_H7e zenon_H10b zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.58 apply (zenon_L930_); trivial. % 1.40/1.58 apply (zenon_L925_); trivial. % 1.40/1.58 (* end of lemma zenon_L931_ *) % 1.40/1.58 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L772_); trivial. % 1.40/1.58 (* end of lemma zenon_L932_ *) % 1.40/1.58 assert (zenon_L933_ : (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1dc zenon_H12 zenon_H41 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.40/1.58 generalize (zenon_H1dc (a829)). zenon_intro zenon_H2ae. % 1.40/1.58 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H11 | zenon_intro zenon_H2af ]. % 1.40/1.58 exact (zenon_H11 zenon_H12). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2b0 ]. % 1.40/1.58 apply (zenon_L883_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbe ]. % 1.40/1.58 exact (zenon_Hbc zenon_Hb6). % 1.40/1.58 exact (zenon_Hbe zenon_Hb7). % 1.40/1.58 (* end of lemma zenon_L933_ *) % 1.40/1.58 assert (zenon_L934_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_H97 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.58 apply (zenon_L136_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.58 apply (zenon_L869_); trivial. % 1.40/1.58 apply (zenon_L933_); trivial. % 1.40/1.58 (* end of lemma zenon_L934_ *) % 1.40/1.58 assert (zenon_L935_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.58 apply (zenon_L141_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.58 apply (zenon_L432_); trivial. % 1.40/1.58 apply (zenon_L657_); trivial. % 1.40/1.58 (* end of lemma zenon_L935_ *) % 1.40/1.58 assert (zenon_L936_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.58 apply (zenon_L136_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.58 apply (zenon_L935_); trivial. % 1.40/1.58 apply (zenon_L933_); trivial. % 1.40/1.58 (* end of lemma zenon_L936_ *) % 1.40/1.58 assert (zenon_L937_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.58 apply (zenon_L161_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.58 apply (zenon_L98_); trivial. % 1.40/1.58 apply (zenon_L936_); trivial. % 1.40/1.58 (* end of lemma zenon_L937_ *) % 1.40/1.58 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H1be zenon_H21d zenon_H148 zenon_H147 zenon_H1a4 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H5. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.58 apply (zenon_L161_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.58 apply (zenon_L822_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.58 apply (zenon_L934_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.58 apply (zenon_L936_); trivial. % 1.40/1.58 exact (zenon_H1be zenon_H1bf). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.58 apply (zenon_L937_); trivial. % 1.40/1.58 exact (zenon_H5 zenon_H6). % 1.40/1.58 (* end of lemma zenon_L938_ *) % 1.40/1.58 assert (zenon_L939_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_Hc2 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H21d zenon_H1be zenon_H1e2 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H233 zenon_H1a2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H10b zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_Hf zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L732_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L155_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L930_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.59 apply (zenon_L161_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.59 apply (zenon_L718_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.59 apply (zenon_L872_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.59 apply (zenon_L325_); trivial. % 1.40/1.59 apply (zenon_L764_); trivial. % 1.40/1.59 apply (zenon_L938_); trivial. % 1.40/1.59 (* end of lemma zenon_L939_ *) % 1.40/1.59 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H121 zenon_H1c4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Haa zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_Hd9 zenon_Hd7 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55 zenon_H103 zenon_H5. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.59 apply (zenon_L924_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.59 apply (zenon_L872_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.59 apply (zenon_L222_); trivial. % 1.40/1.59 apply (zenon_L72_); trivial. % 1.40/1.59 exact (zenon_H5 zenon_H6). % 1.40/1.59 (* end of lemma zenon_L940_ *) % 1.40/1.59 assert (zenon_L941_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H153 zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L907_); trivial. % 1.40/1.59 apply (zenon_L235_); trivial. % 1.40/1.59 (* end of lemma zenon_L941_ *) % 1.40/1.59 assert (zenon_L942_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1e4 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L894_); trivial. % 1.40/1.59 apply (zenon_L941_); trivial. % 1.40/1.59 (* end of lemma zenon_L942_ *) % 1.40/1.59 assert (zenon_L943_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_L474_); trivial. % 1.40/1.59 apply (zenon_L864_); trivial. % 1.40/1.59 (* end of lemma zenon_L943_ *) % 1.40/1.59 assert (zenon_L944_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_H163 zenon_H161 zenon_Hd zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.59 apply (zenon_L231_); trivial. % 1.40/1.59 apply (zenon_L170_); trivial. % 1.40/1.59 (* end of lemma zenon_L944_ *) % 1.40/1.59 assert (zenon_L945_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H121 zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.59 apply (zenon_L591_); trivial. % 1.40/1.59 apply (zenon_L170_); trivial. % 1.40/1.59 (* end of lemma zenon_L945_ *) % 1.40/1.59 assert (zenon_L946_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H153 zenon_H1e4 zenon_H108 zenon_H2a zenon_H10b zenon_H54 zenon_H133 zenon_H11e zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.59 apply (zenon_L587_); trivial. % 1.40/1.59 apply (zenon_L170_); trivial. % 1.40/1.59 apply (zenon_L215_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L590_); trivial. % 1.40/1.59 apply (zenon_L945_); trivial. % 1.40/1.59 apply (zenon_L235_); trivial. % 1.40/1.59 (* end of lemma zenon_L946_ *) % 1.40/1.59 assert (zenon_L947_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H18a zenon_H138 zenon_H124 zenon_H153 zenon_H1e4 zenon_H2a zenon_Hea zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H163 zenon_H2e zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef zenon_H7e zenon_H55 zenon_Hd4 zenon_H11e zenon_H54 zenon_H10b zenon_H1ca zenon_H18b. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L944_); trivial. % 1.40/1.59 apply (zenon_L585_); trivial. % 1.40/1.59 apply (zenon_L946_); trivial. % 1.40/1.59 apply (zenon_L241_); trivial. % 1.40/1.59 (* end of lemma zenon_L947_ *) % 1.40/1.59 assert (zenon_L948_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp1)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H165 zenon_H28e zenon_H28d zenon_H28c zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H185 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H8a zenon_H86. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.59 apply (zenon_L136_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.59 apply (zenon_L935_); trivial. % 1.40/1.59 apply (zenon_L439_); trivial. % 1.40/1.59 (* end of lemma zenon_L948_ *) % 1.40/1.59 assert (zenon_L949_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp20)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H8a zenon_H86 zenon_H185 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.40/1.59 apply (zenon_L8_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.59 apply (zenon_L136_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.59 apply (zenon_L948_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.59 apply (zenon_L462_); trivial. % 1.40/1.59 exact (zenon_He8 zenon_He9). % 1.40/1.59 apply (zenon_L439_); trivial. % 1.40/1.59 apply (zenon_L17_); trivial. % 1.40/1.59 apply (zenon_L707_); trivial. % 1.40/1.59 (* end of lemma zenon_L949_ *) % 1.40/1.59 assert (zenon_L950_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.59 apply (zenon_L161_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.59 apply (zenon_L822_); trivial. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 (* end of lemma zenon_L950_ *) % 1.40/1.59 assert (zenon_L951_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H39 zenon_H109 zenon_H10b. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_L91_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.59 apply (zenon_L950_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.59 apply (zenon_L15_); trivial. % 1.40/1.59 exact (zenon_H125 zenon_H126). % 1.40/1.59 (* end of lemma zenon_L951_ *) % 1.40/1.59 assert (zenon_L952_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H109 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_L951_); trivial. % 1.40/1.59 apply (zenon_L707_); trivial. % 1.40/1.59 (* end of lemma zenon_L952_ *) % 1.40/1.59 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L952_); trivial. % 1.40/1.59 apply (zenon_L846_); trivial. % 1.40/1.59 (* end of lemma zenon_L953_ *) % 1.40/1.59 assert (zenon_L954_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H1bc zenon_H8c zenon_H161 zenon_H1d6 zenon_H54 zenon_H5 zenon_H1c2 zenon_H2e zenon_H165 zenon_H86 zenon_H185 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_Hf zenon_H3c zenon_H40 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1a4 zenon_H147 zenon_H148 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H11e zenon_H124. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L949_); trivial. % 1.40/1.59 apply (zenon_L953_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L907_); trivial. % 1.40/1.59 apply (zenon_L953_); trivial. % 1.40/1.59 (* end of lemma zenon_L954_ *) % 1.40/1.59 assert (zenon_L955_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H187 zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H86 zenon_H185. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L155_); trivial. % 1.40/1.59 apply (zenon_L953_); trivial. % 1.40/1.59 (* end of lemma zenon_L955_ *) % 1.40/1.59 assert (zenon_L956_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1c6 zenon_H1c8 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L407_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L218_); trivial. % 1.40/1.59 apply (zenon_L733_); trivial. % 1.40/1.59 (* end of lemma zenon_L956_ *) % 1.40/1.59 assert (zenon_L957_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H258 zenon_H25a zenon_H264 zenon_H73 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.59 apply (zenon_L243_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.59 apply (zenon_L432_); trivial. % 1.40/1.59 apply (zenon_L657_); trivial. % 1.40/1.59 (* end of lemma zenon_L957_ *) % 1.40/1.59 assert (zenon_L958_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H41 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.59 apply (zenon_L243_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.59 apply (zenon_L414_); trivial. % 1.40/1.59 apply (zenon_L657_); trivial. % 1.40/1.59 (* end of lemma zenon_L958_ *) % 1.40/1.59 assert (zenon_L959_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H18c zenon_H165 zenon_H264 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.59 apply (zenon_L136_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.59 apply (zenon_L957_); trivial. % 1.40/1.59 apply (zenon_L958_); trivial. % 1.40/1.59 (* end of lemma zenon_L959_ *) % 1.40/1.59 assert (zenon_L960_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H20c zenon_H20b zenon_H1d9 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.59 apply (zenon_L956_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.59 apply (zenon_L493_); trivial. % 1.40/1.59 apply (zenon_L959_); trivial. % 1.40/1.59 (* end of lemma zenon_L960_ *) % 1.40/1.59 assert (zenon_L961_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H4d zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.59 apply (zenon_L865_); trivial. % 1.40/1.59 apply (zenon_L775_); trivial. % 1.40/1.59 (* end of lemma zenon_L961_ *) % 1.40/1.59 assert (zenon_L962_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_L758_); trivial. % 1.40/1.59 apply (zenon_L864_); trivial. % 1.40/1.59 (* end of lemma zenon_L962_ *) % 1.40/1.59 assert (zenon_L963_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_L895_); trivial. % 1.40/1.59 apply (zenon_L962_); trivial. % 1.40/1.59 (* end of lemma zenon_L963_ *) % 1.40/1.59 assert (zenon_L964_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L963_); trivial. % 1.40/1.59 apply (zenon_L255_); trivial. % 1.40/1.59 (* end of lemma zenon_L964_ *) % 1.40/1.59 assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L963_); trivial. % 1.40/1.59 apply (zenon_L766_); trivial. % 1.40/1.59 (* end of lemma zenon_L965_ *) % 1.40/1.59 assert (zenon_L966_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L964_); trivial. % 1.40/1.59 apply (zenon_L965_); trivial. % 1.40/1.59 (* end of lemma zenon_L966_ *) % 1.40/1.59 assert (zenon_L967_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H4d zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H119 zenon_H1a2 zenon_H124. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.59 apply (zenon_L966_); trivial. % 1.40/1.59 apply (zenon_L775_); trivial. % 1.40/1.59 (* end of lemma zenon_L967_ *) % 1.40/1.59 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_Haa zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1c2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.59 apply (zenon_L161_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.59 apply (zenon_L169_); trivial. % 1.40/1.59 apply (zenon_L765_); trivial. % 1.40/1.59 (* end of lemma zenon_L968_ *) % 1.40/1.59 assert (zenon_L969_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H54. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L963_); trivial. % 1.40/1.59 apply (zenon_L968_); trivial. % 1.40/1.59 (* end of lemma zenon_L969_ *) % 1.40/1.59 assert (zenon_L970_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L964_); trivial. % 1.40/1.59 apply (zenon_L969_); trivial. % 1.40/1.59 (* end of lemma zenon_L970_ *) % 1.40/1.59 assert (zenon_L971_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L845_); trivial. % 1.40/1.59 apply (zenon_L255_); trivial. % 1.40/1.59 (* end of lemma zenon_L971_ *) % 1.40/1.59 assert (zenon_L972_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_L845_); trivial. % 1.40/1.59 apply (zenon_L968_); trivial. % 1.40/1.59 (* end of lemma zenon_L972_ *) % 1.40/1.59 assert (zenon_L973_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L971_); trivial. % 1.40/1.59 apply (zenon_L972_); trivial. % 1.40/1.59 (* end of lemma zenon_L973_ *) % 1.40/1.59 assert (zenon_L974_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H209 zenon_H55 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H42 zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H12 zenon_H207. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.40/1.59 apply (zenon_L920_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.40/1.59 apply (zenon_L279_); trivial. % 1.40/1.59 exact (zenon_H207 zenon_H208). % 1.40/1.59 (* end of lemma zenon_L974_ *) % 1.40/1.59 assert (zenon_L975_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp6)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He8 zenon_Hd2 zenon_Hd4 zenon_Hea zenon_H207 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H209 zenon_H5. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.59 apply (zenon_L921_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.59 apply (zenon_L974_); trivial. % 1.40/1.59 exact (zenon_H5 zenon_H6). % 1.40/1.59 (* end of lemma zenon_L975_ *) % 1.40/1.59 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H10b zenon_H148 zenon_H147 zenon_H1a4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c4 zenon_H54. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_L908_); trivial. % 1.40/1.59 apply (zenon_L975_); trivial. % 1.40/1.59 apply (zenon_L766_); trivial. % 1.40/1.59 (* end of lemma zenon_L976_ *) % 1.40/1.59 assert (zenon_L977_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H209 zenon_H207 zenon_H1c4 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H161 zenon_H1d6 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H124. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L973_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L907_); trivial. % 1.40/1.59 apply (zenon_L976_); trivial. % 1.40/1.59 (* end of lemma zenon_L977_ *) % 1.40/1.59 assert (zenon_L978_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H124 zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L155_); trivial. % 1.40/1.59 apply (zenon_L972_); trivial. % 1.40/1.59 (* end of lemma zenon_L978_ *) % 1.40/1.59 assert (zenon_L979_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H138 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H209 zenon_H207 zenon_H1c4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H11e zenon_H124. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.59 apply (zenon_L978_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L155_); trivial. % 1.40/1.59 apply (zenon_L976_); trivial. % 1.40/1.59 (* end of lemma zenon_L979_ *) % 1.40/1.59 assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1c6 zenon_H1c8 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.59 apply (zenon_L524_); trivial. % 1.40/1.59 apply (zenon_L771_); trivial. % 1.40/1.59 (* end of lemma zenon_L980_ *) % 1.40/1.59 assert (zenon_L981_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.59 apply (zenon_L574_); trivial. % 1.40/1.59 apply (zenon_L878_); trivial. % 1.40/1.59 (* end of lemma zenon_L981_ *) % 1.40/1.59 assert (zenon_L982_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H3c zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.59 apply (zenon_L865_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.59 apply (zenon_L867_); trivial. % 1.40/1.59 apply (zenon_L981_); trivial. % 1.40/1.59 (* end of lemma zenon_L982_ *) % 1.40/1.59 assert (zenon_L983_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_L343_); trivial. % 1.40/1.59 apply (zenon_L864_); trivial. % 1.40/1.59 (* end of lemma zenon_L983_ *) % 1.40/1.59 assert (zenon_L984_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H10b zenon_H109 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_L207_); trivial. % 1.40/1.59 apply (zenon_L983_); trivial. % 1.40/1.59 (* end of lemma zenon_L984_ *) % 1.40/1.59 assert (zenon_L985_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_L676_); trivial. % 1.40/1.59 apply (zenon_L864_); trivial. % 1.40/1.59 (* end of lemma zenon_L985_ *) % 1.40/1.59 assert (zenon_L986_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H88 zenon_H86 zenon_H84 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.59 apply (zenon_L44_); trivial. % 1.40/1.59 apply (zenon_L985_); trivial. % 1.40/1.59 (* end of lemma zenon_L986_ *) % 1.40/1.59 assert (zenon_L987_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.59 apply (zenon_L371_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.59 apply (zenon_L101_); trivial. % 1.40/1.59 exact (zenon_He8 zenon_He9). % 1.40/1.59 (* end of lemma zenon_L987_ *) % 1.40/1.59 assert (zenon_L988_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.40/1.59 apply (zenon_L59_); trivial. % 1.40/1.59 apply (zenon_L11_); trivial. % 1.40/1.59 (* end of lemma zenon_L988_ *) % 1.40/1.59 assert (zenon_L989_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.59 apply (zenon_L988_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.59 apply (zenon_L101_); trivial. % 1.40/1.59 exact (zenon_He8 zenon_He9). % 1.40/1.59 (* end of lemma zenon_L989_ *) % 1.40/1.59 assert (zenon_L990_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4f zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.59 apply (zenon_L987_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.40/1.59 apply (zenon_L8_); trivial. % 1.40/1.59 apply (zenon_L989_); trivial. % 1.40/1.59 apply (zenon_L864_); trivial. % 1.40/1.59 (* end of lemma zenon_L990_ *) % 1.40/1.59 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H11d zenon_Hac zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_Hb2 zenon_Hb4 zenon_Hc2 zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.60 apply (zenon_L986_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L580_); trivial. % 1.40/1.60 apply (zenon_L990_); trivial. % 1.40/1.60 (* end of lemma zenon_L991_ *) % 1.40/1.60 assert (zenon_L992_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H124 zenon_Hac zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_Hb4 zenon_Hc2 zenon_H133 zenon_H86 zenon_H88 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_L984_); trivial. % 1.40/1.60 apply (zenon_L255_); trivial. % 1.40/1.60 apply (zenon_L991_); trivial. % 1.40/1.60 (* end of lemma zenon_L992_ *) % 1.40/1.60 assert (zenon_L993_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H1a2 zenon_H119 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H8c zenon_H4d zenon_H50 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H88 zenon_H86 zenon_H133 zenon_Hc2 zenon_Hb4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L992_); trivial. % 1.40/1.60 apply (zenon_L901_); trivial. % 1.40/1.60 (* end of lemma zenon_L993_ *) % 1.40/1.60 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L905_); trivial. % 1.40/1.60 apply (zenon_L808_); trivial. % 1.40/1.60 (* end of lemma zenon_L994_ *) % 1.40/1.60 assert (zenon_L995_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_Hac zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L44_); trivial. % 1.40/1.60 apply (zenon_L559_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L580_); trivial. % 1.40/1.60 apply (zenon_L707_); trivial. % 1.40/1.60 (* end of lemma zenon_L995_ *) % 1.40/1.60 assert (zenon_L996_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H119 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L995_); trivial. % 1.40/1.60 apply (zenon_L913_); trivial. % 1.40/1.60 (* end of lemma zenon_L996_ *) % 1.40/1.60 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H27f zenon_H50 zenon_H4d zenon_H10b zenon_H7e zenon_H119 zenon_H55 zenon_Hd4 zenon_H127 zenon_H125 zenon_H10d zenon_H80 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.60 apply (zenon_L493_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.60 apply (zenon_L494_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.60 apply (zenon_L996_); trivial. % 1.40/1.60 apply (zenon_L917_); trivial. % 1.40/1.60 apply (zenon_L878_); trivial. % 1.40/1.60 (* end of lemma zenon_L997_ *) % 1.40/1.60 assert (zenon_L998_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (c0_1 (a796)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39)))))) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H42 zenon_H73 zenon_H43 zenon_H44. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.40/1.60 apply (zenon_L297_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.40/1.60 apply (zenon_L59_); trivial. % 1.40/1.60 apply (zenon_L35_); trivial. % 1.40/1.60 (* end of lemma zenon_L998_ *) % 1.40/1.60 assert (zenon_L999_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.60 apply (zenon_L882_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.60 apply (zenon_L998_); trivial. % 1.40/1.60 exact (zenon_H55 zenon_H56). % 1.40/1.60 (* end of lemma zenon_L999_ *) % 1.40/1.60 assert (zenon_L1000_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H127 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.60 apply (zenon_L999_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.60 apply (zenon_L101_); trivial. % 1.40/1.60 exact (zenon_H125 zenon_H126). % 1.40/1.60 (* end of lemma zenon_L1000_ *) % 1.40/1.60 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp7)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.40/1.60 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H125 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H127 zenon_H55 zenon_H43 zenon_H44 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.60 apply (zenon_L1000_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.60 apply (zenon_L101_); trivial. % 1.40/1.60 exact (zenon_He8 zenon_He9). % 1.40/1.60 (* end of lemma zenon_L1001_ *) % 1.40/1.60 assert (zenon_L1002_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H71 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H125 zenon_H127 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He8 zenon_Hea. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.60 apply (zenon_L987_); trivial. % 1.40/1.60 apply (zenon_L1001_); trivial. % 1.40/1.60 (* end of lemma zenon_L1002_ *) % 1.40/1.60 assert (zenon_L1003_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_Haa zenon_H55 zenon_H258 zenon_H25a zenon_H264 zenon_H1e4 zenon_H153 zenon_H86 zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.60 apply (zenon_L161_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.60 apply (zenon_L718_); trivial. % 1.40/1.60 apply (zenon_L899_); trivial. % 1.40/1.60 (* end of lemma zenon_L1003_ *) % 1.40/1.60 assert (zenon_L1004_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1c4 zenon_H1e4 zenon_H86 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H127 zenon_H125 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H71 zenon_Hc2 zenon_H54. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L895_); trivial. % 1.40/1.60 apply (zenon_L1002_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.60 apply (zenon_L924_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.60 apply (zenon_L1003_); trivial. % 1.40/1.60 exact (zenon_H5 zenon_H6). % 1.40/1.60 (* end of lemma zenon_L1004_ *) % 1.40/1.60 assert (zenon_L1005_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H1e4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H127 zenon_H125 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H8c zenon_H185 zenon_H161 zenon_H1d6 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H88 zenon_H86 zenon_H133 zenon_Hc2 zenon_Hb4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L992_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L907_); trivial. % 1.40/1.60 apply (zenon_L1004_); trivial. % 1.40/1.60 (* end of lemma zenon_L1005_ *) % 1.40/1.60 assert (zenon_L1006_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1c4 zenon_H1e4 zenon_H190 zenon_H191 zenon_H192 zenon_Haa zenon_H1a2 zenon_H10b zenon_H127 zenon_H125 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_Hc2 zenon_Hb4 zenon_Hb2 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hac zenon_H124. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L155_); trivial. % 1.40/1.60 apply (zenon_L991_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L155_); trivial. % 1.40/1.60 apply (zenon_L1004_); trivial. % 1.40/1.60 (* end of lemma zenon_L1006_ *) % 1.40/1.60 assert (zenon_L1007_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H18a zenon_H1ca zenon_H21d zenon_H1be zenon_H103 zenon_H1c8 zenon_H1c6 zenon_H124 zenon_Hac zenon_Hd4 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hc2 zenon_H133 zenon_H86 zenon_H88 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H10b zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H1d6 zenon_H185 zenon_H8c zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H125 zenon_H127 zenon_H1a2 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H1e4 zenon_H1c4 zenon_H138 zenon_H18b. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.60 apply (zenon_L1005_); trivial. % 1.40/1.60 apply (zenon_L994_); trivial. % 1.40/1.60 apply (zenon_L928_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.60 apply (zenon_L1006_); trivial. % 1.40/1.60 apply (zenon_L994_); trivial. % 1.40/1.60 apply (zenon_L928_); trivial. % 1.40/1.60 (* end of lemma zenon_L1007_ *) % 1.40/1.60 assert (zenon_L1008_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H10b zenon_H109 zenon_H7e zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L908_); trivial. % 1.40/1.60 apply (zenon_L559_); trivial. % 1.40/1.60 (* end of lemma zenon_L1008_ *) % 1.40/1.60 assert (zenon_L1009_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1c4 zenon_H1be zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H25a zenon_H258 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H55 zenon_H21d zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H5. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.60 apply (zenon_L923_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.60 apply (zenon_L371_); trivial. % 1.40/1.60 exact (zenon_H1be zenon_H1bf). % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.60 apply (zenon_L371_); trivial. % 1.40/1.60 exact (zenon_H5 zenon_H6). % 1.40/1.60 (* end of lemma zenon_L1009_ *) % 1.40/1.60 assert (zenon_L1010_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hc2 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H21d zenon_H1be zenon_Hb2 zenon_Hb4 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H5 zenon_H1c4 zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H10b zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_L1008_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.60 apply (zenon_L1009_); trivial. % 1.40/1.60 apply (zenon_L938_); trivial. % 1.40/1.60 (* end of lemma zenon_L1010_ *) % 1.40/1.60 assert (zenon_L1011_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_Hc2 zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H21d zenon_H1be zenon_Hb2 zenon_Hb4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1c4 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H119 zenon_H7e zenon_H10b zenon_H8c zenon_H185 zenon_H161 zenon_H1d6 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L995_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L907_); trivial. % 1.40/1.60 apply (zenon_L1010_); trivial. % 1.40/1.60 (* end of lemma zenon_L1011_ *) % 1.40/1.60 assert (zenon_L1012_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H1c6 zenon_H1c8 zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H40 zenon_Hac. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L565_); trivial. % 1.40/1.60 apply (zenon_L807_); trivial. % 1.40/1.60 (* end of lemma zenon_L1012_ *) % 1.40/1.60 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H1c6 zenon_H1c8 zenon_H8c zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hac. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L995_); trivial. % 1.40/1.60 apply (zenon_L1012_); trivial. % 1.40/1.60 (* end of lemma zenon_L1013_ *) % 1.40/1.60 assert (zenon_L1014_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H103 zenon_H55 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H7e zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.60 apply (zenon_L923_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.60 apply (zenon_L222_); trivial. % 1.40/1.60 apply (zenon_L657_); trivial. % 1.40/1.60 (* end of lemma zenon_L1014_ *) % 1.40/1.60 assert (zenon_L1015_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.60 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H110 zenon_H111 zenon_H112 zenon_H103 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.60 apply (zenon_L161_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.60 apply (zenon_L763_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.60 apply (zenon_L934_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.60 apply (zenon_L222_); trivial. % 1.40/1.60 apply (zenon_L657_); trivial. % 1.40/1.60 (* end of lemma zenon_L1015_ *) % 1.40/1.60 assert (zenon_L1016_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H121 zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H5 zenon_H1c4. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.60 apply (zenon_L1014_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.60 apply (zenon_L371_); trivial. % 1.40/1.60 exact (zenon_H5 zenon_H6). % 1.40/1.60 apply (zenon_L1015_); trivial. % 1.40/1.60 (* end of lemma zenon_L1016_ *) % 1.40/1.60 assert (zenon_L1017_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H124 zenon_H11e zenon_Hc2 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1c4 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L155_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_L845_); trivial. % 1.40/1.60 apply (zenon_L1016_); trivial. % 1.40/1.60 (* end of lemma zenon_L1017_ *) % 1.40/1.60 assert (zenon_L1018_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_Hac zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H133 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H88 zenon_H2e. % 1.40/1.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.60 apply (zenon_L561_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.60 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.60 apply (zenon_L563_); trivial. % 1.40/1.60 apply (zenon_L866_); trivial. % 1.40/1.60 (* end of lemma zenon_L1018_ *) % 1.40/1.60 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L951_); trivial. % 1.40/1.60 apply (zenon_L559_); trivial. % 1.40/1.60 apply (zenon_L846_); trivial. % 1.40/1.60 (* end of lemma zenon_L1019_ *) % 1.40/1.60 assert (zenon_L1020_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H124 zenon_H11e zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H54 zenon_H2e zenon_H88 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H133 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40 zenon_Hac. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L1018_); trivial. % 1.40/1.60 apply (zenon_L1019_); trivial. % 1.40/1.60 (* end of lemma zenon_L1020_ *) % 1.40/1.60 assert (zenon_L1021_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H86 zenon_H185 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.60 apply (zenon_L493_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.60 apply (zenon_L494_); trivial. % 1.40/1.60 apply (zenon_L955_); trivial. % 1.40/1.60 (* end of lemma zenon_L1021_ *) % 1.40/1.60 assert (zenon_L1022_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.60 apply (zenon_L601_); trivial. % 1.40/1.60 apply (zenon_L968_); trivial. % 1.40/1.60 (* end of lemma zenon_L1022_ *) % 1.40/1.60 assert (zenon_L1023_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_Hc2 zenon_H40 zenon_H1f2 zenon_H11e. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L602_); trivial. % 1.40/1.60 apply (zenon_L1022_); trivial. % 1.40/1.60 (* end of lemma zenon_L1023_ *) % 1.40/1.60 assert (zenon_L1024_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H71 zenon_H103 zenon_Hc2 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_Haa zenon_H119 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1a2 zenon_H124. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.60 apply (zenon_L973_); trivial. % 1.40/1.60 apply (zenon_L1023_); trivial. % 1.40/1.60 (* end of lemma zenon_L1024_ *) % 1.40/1.60 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H18c zenon_H18b zenon_H7e zenon_H55 zenon_H88 zenon_H1c4 zenon_Hac zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_Hc2 zenon_H103 zenon_H71 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H138. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.60 apply (zenon_L1024_); trivial. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.60 apply (zenon_L440_); trivial. % 1.40/1.60 apply (zenon_L826_); trivial. % 1.40/1.60 (* end of lemma zenon_L1025_ *) % 1.40/1.60 assert (zenon_L1026_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H4f zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_H125. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.40/1.60 apply (zenon_L396_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.40/1.60 apply (zenon_L101_); trivial. % 1.40/1.60 exact (zenon_H125 zenon_H126). % 1.40/1.60 (* end of lemma zenon_L1026_ *) % 1.40/1.60 assert (zenon_L1027_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.60 do 0 intro. intros zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H10b zenon_H109 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.60 apply (zenon_L851_); trivial. % 1.40/1.60 apply (zenon_L1026_); trivial. % 1.40/1.60 (* end of lemma zenon_L1027_ *) % 1.40/1.60 assert (zenon_L1028_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H199 zenon_H245 zenon_H12 zenon_H55. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.60 apply (zenon_L98_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.60 generalize (zenon_H73 (a800)). zenon_intro zenon_H286. % 1.40/1.60 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H11 | zenon_intro zenon_H287 ]. % 1.40/1.60 exact (zenon_H11 zenon_H12). % 1.40/1.60 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H24c | zenon_intro zenon_H288 ]. % 1.40/1.60 exact (zenon_H245 zenon_H24c). % 1.40/1.60 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H24b ]. % 1.40/1.60 generalize (zenon_H199 (a800)). zenon_intro zenon_H2b1. % 1.40/1.60 apply (zenon_imply_s _ _ zenon_H2b1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b2 ]. % 1.40/1.60 exact (zenon_H11 zenon_H12). % 1.40/1.60 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H24c | zenon_intro zenon_H284 ]. % 1.40/1.60 exact (zenon_H245 zenon_H24c). % 1.40/1.60 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H285 | zenon_intro zenon_H24b ]. % 1.40/1.60 exact (zenon_H281 zenon_H285). % 1.40/1.60 exact (zenon_H24b zenon_H246). % 1.40/1.60 exact (zenon_H24b zenon_H246). % 1.40/1.60 exact (zenon_H55 zenon_H56). % 1.40/1.60 (* end of lemma zenon_L1028_ *) % 1.40/1.60 assert (zenon_L1029_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False). % 1.40/1.60 do 0 intro. intros zenon_H21d zenon_Hb2 zenon_Hb0 zenon_H244 zenon_Hb4 zenon_H55 zenon_H12 zenon_H245 zenon_H199 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.60 apply (zenon_L856_); trivial. % 1.40/1.60 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.60 apply (zenon_L1028_); trivial. % 1.40/1.60 exact (zenon_H1be zenon_H1bf). % 1.40/1.60 (* end of lemma zenon_L1029_ *) % 1.40/1.60 assert (zenon_L1030_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H12 zenon_H55. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.61 apply (zenon_L98_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.61 apply (zenon_L632_); trivial. % 1.40/1.61 exact (zenon_H55 zenon_H56). % 1.40/1.61 (* end of lemma zenon_L1030_ *) % 1.40/1.61 assert (zenon_L1031_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.40/1.61 do 0 intro. intros zenon_Haa zenon_H245 zenon_H244 zenon_H246 zenon_H119 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H7e zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.61 apply (zenon_L1030_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.61 apply (zenon_L66_); trivial. % 1.40/1.61 apply (zenon_L764_); trivial. % 1.40/1.61 (* end of lemma zenon_L1031_ *) % 1.40/1.61 assert (zenon_L1032_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H55 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_H119 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.61 apply (zenon_L633_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.61 apply (zenon_L1031_); trivial. % 1.40/1.61 exact (zenon_H1be zenon_H1bf). % 1.40/1.61 (* end of lemma zenon_L1032_ *) % 1.40/1.61 assert (zenon_L1033_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H1dc zenon_H4b zenon_H4d. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ]. % 1.40/1.61 apply (zenon_L933_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 1.40/1.61 exact (zenon_H4b zenon_H4c). % 1.40/1.61 exact (zenon_H4d zenon_H4e). % 1.40/1.61 (* end of lemma zenon_L1033_ *) % 1.40/1.61 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H28e zenon_H28d zenon_H28c zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H50 zenon_H4b zenon_H4d. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.61 apply (zenon_L763_); trivial. % 1.40/1.61 apply (zenon_L1033_); trivial. % 1.40/1.61 (* end of lemma zenon_L1034_ *) % 1.40/1.61 assert (zenon_L1035_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.61 apply (zenon_L58_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.61 apply (zenon_L163_); trivial. % 1.40/1.61 apply (zenon_L1032_); trivial. % 1.40/1.61 (* end of lemma zenon_L1035_ *) % 1.40/1.61 assert (zenon_L1036_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H121 zenon_H80 zenon_H71 zenon_H1a2 zenon_Hd2 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H7e zenon_H55 zenon_H245 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.61 apply (zenon_L1029_); trivial. % 1.40/1.61 apply (zenon_L1032_); trivial. % 1.40/1.61 apply (zenon_L1034_); trivial. % 1.40/1.61 apply (zenon_L1035_); trivial. % 1.40/1.61 (* end of lemma zenon_L1036_ *) % 1.40/1.61 assert (zenon_L1037_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H80 zenon_H71 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_Hb2 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.61 apply (zenon_L1027_); trivial. % 1.40/1.61 apply (zenon_L1036_); trivial. % 1.40/1.61 (* end of lemma zenon_L1037_ *) % 1.40/1.61 assert (zenon_L1038_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H71 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hb4 zenon_H119 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L770_); trivial. % 1.40/1.61 apply (zenon_L1037_); trivial. % 1.40/1.61 (* end of lemma zenon_L1038_ *) % 1.40/1.61 assert (zenon_L1039_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H97 zenon_H245 zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.61 apply (zenon_L136_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.61 apply (zenon_L632_); trivial. % 1.40/1.61 apply (zenon_L933_); trivial. % 1.40/1.61 (* end of lemma zenon_L1039_ *) % 1.40/1.61 assert (zenon_L1040_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H103 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H1dc zenon_H245 zenon_H244 zenon_H246 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.40/1.61 apply (zenon_L1039_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.40/1.61 apply (zenon_L222_); trivial. % 1.40/1.61 apply (zenon_L657_); trivial. % 1.40/1.61 (* end of lemma zenon_L1040_ *) % 1.40/1.61 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H103 zenon_H245 zenon_H244 zenon_H246 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28c zenon_H28d zenon_H28e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.61 apply (zenon_L66_); trivial. % 1.40/1.61 apply (zenon_L1040_); trivial. % 1.40/1.61 (* end of lemma zenon_L1041_ *) % 1.40/1.61 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a800))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H245 zenon_H15a zenon_H159 zenon_H158 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H28c zenon_H28d zenon_H28e zenon_H103. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.61 apply (zenon_L857_); trivial. % 1.40/1.61 apply (zenon_L1041_); trivial. % 1.40/1.61 (* end of lemma zenon_L1042_ *) % 1.40/1.61 assert (zenon_L1043_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H133 zenon_H125 zenon_H127 zenon_H2e zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H124 zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.61 apply (zenon_L493_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L639_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L770_); trivial. % 1.40/1.61 apply (zenon_L1042_); trivial. % 1.40/1.61 apply (zenon_L642_); trivial. % 1.40/1.61 (* end of lemma zenon_L1043_ *) % 1.40/1.61 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H121 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H55 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.61 apply (zenon_L169_); trivial. % 1.40/1.61 apply (zenon_L1032_); trivial. % 1.40/1.61 (* end of lemma zenon_L1044_ *) % 1.40/1.61 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.61 apply (zenon_L1027_); trivial. % 1.40/1.61 apply (zenon_L1044_); trivial. % 1.40/1.61 (* end of lemma zenon_L1045_ *) % 1.40/1.61 assert (zenon_L1046_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L639_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L770_); trivial. % 1.40/1.61 apply (zenon_L1045_); trivial. % 1.40/1.61 (* end of lemma zenon_L1046_ *) % 1.40/1.61 assert (zenon_L1047_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H1ca zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H21d zenon_H1be zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H124 zenon_H138. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_L1046_); trivial. % 1.40/1.61 apply (zenon_L642_); trivial. % 1.40/1.61 (* end of lemma zenon_L1047_ *) % 1.40/1.61 assert (zenon_L1048_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.61 apply (zenon_L1027_); trivial. % 1.40/1.61 apply (zenon_L846_); trivial. % 1.40/1.61 (* end of lemma zenon_L1048_ *) % 1.40/1.61 assert (zenon_L1049_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L155_); trivial. % 1.40/1.61 apply (zenon_L1048_); trivial. % 1.40/1.61 (* end of lemma zenon_L1049_ *) % 1.40/1.61 assert (zenon_L1050_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H255 zenon_H231 zenon_H1c0 zenon_H3c zenon_H2a0 zenon_H1ac zenon_H1ca zenon_Hf zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H2e zenon_H11e zenon_H1f2 zenon_H1c6 zenon_H1c8 zenon_H54 zenon_Hd4 zenon_H7e zenon_H10b zenon_Hc2 zenon_H1e2 zenon_H50 zenon_H21d zenon_H119 zenon_Hb4 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H71 zenon_H80 zenon_H124 zenon_H138 zenon_H155 zenon_H165 zenon_H103 zenon_H1d9 zenon_H20b zenon_H59 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H108 zenon_H163 zenon_H8c zenon_H86 zenon_H185 zenon_H2a zenon_Hef zenon_H18a zenon_H2a5. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.40/1.61 apply (zenon_L644_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L639_); trivial. % 1.40/1.61 apply (zenon_L1038_); trivial. % 1.40/1.61 apply (zenon_L642_); trivial. % 1.40/1.61 apply (zenon_L1043_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.61 apply (zenon_L1047_); trivial. % 1.40/1.61 apply (zenon_L1043_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.40/1.61 apply (zenon_L644_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L639_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L502_); trivial. % 1.40/1.61 apply (zenon_L1048_); trivial. % 1.40/1.61 apply (zenon_L642_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_L1049_); trivial. % 1.40/1.61 apply (zenon_L642_); trivial. % 1.40/1.61 apply (zenon_L960_); trivial. % 1.40/1.61 (* end of lemma zenon_L1050_ *) % 1.40/1.61 assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.61 apply (zenon_L803_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.61 apply (zenon_L580_); trivial. % 1.40/1.61 apply (zenon_L649_); trivial. % 1.40/1.61 (* end of lemma zenon_L1051_ *) % 1.40/1.61 assert (zenon_L1052_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H1be. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.61 apply (zenon_L856_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.61 apply (zenon_L371_); trivial. % 1.40/1.61 exact (zenon_H1be zenon_H1bf). % 1.40/1.61 (* end of lemma zenon_L1052_ *) % 1.40/1.61 assert (zenon_L1053_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H244 zenon_H246 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H32 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.61 apply (zenon_L858_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.61 apply (zenon_L386_); trivial. % 1.40/1.61 exact (zenon_H1be zenon_H1bf). % 1.40/1.61 (* end of lemma zenon_L1053_ *) % 1.40/1.61 assert (zenon_L1054_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_Hac zenon_Hc2 zenon_Haa zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hd zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.61 apply (zenon_L904_); trivial. % 1.40/1.61 apply (zenon_L789_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.61 apply (zenon_L531_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.61 apply (zenon_L1052_); trivial. % 1.40/1.61 apply (zenon_L1053_); trivial. % 1.40/1.61 (* end of lemma zenon_L1054_ *) % 1.40/1.61 assert (zenon_L1055_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_Hea zenon_He8 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L1054_); trivial. % 1.40/1.61 apply (zenon_L808_); trivial. % 1.40/1.61 (* end of lemma zenon_L1055_ *) % 1.40/1.61 assert (zenon_L1056_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H138 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H108 zenon_H54 zenon_H7e zenon_H55 zenon_H161 zenon_H163 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L522_); trivial. % 1.40/1.61 apply (zenon_L810_); trivial. % 1.40/1.61 (* end of lemma zenon_L1056_ *) % 1.40/1.61 assert (zenon_L1057_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L1054_); trivial. % 1.40/1.61 apply (zenon_L810_); trivial. % 1.40/1.61 (* end of lemma zenon_L1057_ *) % 1.40/1.61 assert (zenon_L1058_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H244 zenon_H246 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H138. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_L1056_); trivial. % 1.40/1.61 apply (zenon_L1057_); trivial. % 1.40/1.61 (* end of lemma zenon_L1058_ *) % 1.40/1.61 assert (zenon_L1059_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L155_); trivial. % 1.40/1.61 apply (zenon_L1051_); trivial. % 1.40/1.61 (* end of lemma zenon_L1059_ *) % 1.40/1.61 assert (zenon_L1060_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H119 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_L216_); trivial. % 1.40/1.61 apply (zenon_L1057_); trivial. % 1.40/1.61 (* end of lemma zenon_L1060_ *) % 1.40/1.61 assert (zenon_L1061_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a803))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H1f4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.40/1.61 apply (zenon_L64_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.40/1.61 apply (zenon_L549_); trivial. % 1.40/1.61 apply (zenon_L72_); trivial. % 1.40/1.61 (* end of lemma zenon_L1061_ *) % 1.40/1.61 assert (zenon_L1062_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_He8 zenon_H12 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H55. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.61 apply (zenon_L1061_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.61 apply (zenon_L558_); trivial. % 1.40/1.61 exact (zenon_H55 zenon_H56). % 1.40/1.61 (* end of lemma zenon_L1062_ *) % 1.40/1.61 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H4f zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H55 zenon_Hd4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd2 zenon_H7e zenon_He8. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.61 apply (zenon_L1062_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.61 apply (zenon_L101_); trivial. % 1.40/1.61 exact (zenon_He8 zenon_He9). % 1.40/1.61 (* end of lemma zenon_L1063_ *) % 1.40/1.61 assert (zenon_L1064_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.61 apply (zenon_L600_); trivial. % 1.40/1.61 apply (zenon_L1063_); trivial. % 1.40/1.61 (* end of lemma zenon_L1064_ *) % 1.40/1.61 assert (zenon_L1065_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H246 zenon_H244 zenon_H245 zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L770_); trivial. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.61 apply (zenon_L1064_); trivial. % 1.40/1.61 apply (zenon_L1036_); trivial. % 1.40/1.61 (* end of lemma zenon_L1065_ *) % 1.40/1.61 assert (zenon_L1066_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H80 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2 zenon_Hb4 zenon_H10b zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H185 zenon_H86 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124 zenon_H1ca. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L1059_); trivial. % 1.40/1.61 apply (zenon_L1065_); trivial. % 1.40/1.61 apply (zenon_L1055_); trivial. % 1.40/1.61 apply (zenon_L1060_); trivial. % 1.40/1.61 (* end of lemma zenon_L1066_ *) % 1.40/1.61 assert (zenon_L1067_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H246 zenon_H244 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_Haa zenon_H1be. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.40/1.61 apply (zenon_L858_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.40/1.61 apply (zenon_L858_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.40/1.61 apply (zenon_L1061_); trivial. % 1.40/1.61 apply (zenon_L764_); trivial. % 1.40/1.61 exact (zenon_H1be zenon_H1bf). % 1.40/1.61 (* end of lemma zenon_L1067_ *) % 1.40/1.61 assert (zenon_L1068_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.40/1.61 do 0 intro. intros zenon_Hbf zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H246 zenon_H244 zenon_Haa zenon_H1be. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.61 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.40/1.61 apply (zenon_L161_); trivial. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.40/1.61 apply (zenon_L169_); trivial. % 1.40/1.61 apply (zenon_L1067_); trivial. % 1.40/1.61 (* end of lemma zenon_L1068_ *) % 1.40/1.61 assert (zenon_L1069_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H11d zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.61 apply (zenon_L1052_); trivial. % 1.40/1.61 apply (zenon_L1068_); trivial. % 1.40/1.61 (* end of lemma zenon_L1069_ *) % 1.40/1.61 assert (zenon_L1070_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.61 apply (zenon_L770_); trivial. % 1.40/1.61 apply (zenon_L1069_); trivial. % 1.40/1.61 (* end of lemma zenon_L1070_ *) % 1.40/1.61 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.61 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.61 apply (zenon_L1054_); trivial. % 1.40/1.61 apply (zenon_L1070_); trivial. % 1.40/1.61 (* end of lemma zenon_L1071_ *) % 1.40/1.61 assert (zenon_L1072_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.61 do 0 intro. intros zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H109 zenon_H10b zenon_H54 zenon_Hef. % 1.40/1.61 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.61 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.61 apply (zenon_L452_); trivial. % 1.40/1.61 apply (zenon_L273_); trivial. % 1.40/1.61 apply (zenon_L120_); trivial. % 1.40/1.61 (* end of lemma zenon_L1072_ *) % 1.40/1.61 assert (zenon_L1073_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H108 zenon_H2e zenon_H163 zenon_H161 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H40 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.62 apply (zenon_L1072_); trivial. % 1.40/1.62 apply (zenon_L255_); trivial. % 1.40/1.62 apply (zenon_L1069_); trivial. % 1.40/1.62 (* end of lemma zenon_L1073_ *) % 1.40/1.62 assert (zenon_L1074_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H103 zenon_H88 zenon_H133 zenon_Hac zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H10b zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H244 zenon_H246 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1a2 zenon_Hc2 zenon_H138. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L522_); trivial. % 1.40/1.62 apply (zenon_L1073_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L1054_); trivial. % 1.40/1.62 apply (zenon_L1073_); trivial. % 1.40/1.62 (* end of lemma zenon_L1074_ *) % 1.40/1.62 assert (zenon_L1075_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.62 apply (zenon_L218_); trivial. % 1.40/1.62 apply (zenon_L1044_); trivial. % 1.40/1.62 (* end of lemma zenon_L1075_ *) % 1.40/1.62 assert (zenon_L1076_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1c6 zenon_H1c8 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L1059_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L155_); trivial. % 1.40/1.62 apply (zenon_L1075_); trivial. % 1.40/1.62 (* end of lemma zenon_L1076_ *) % 1.40/1.62 assert (zenon_L1077_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H1ca zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_Hc2 zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_H55 zenon_H245 zenon_H244 zenon_H246 zenon_H7e zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H40 zenon_H3c zenon_Hf zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H1c8 zenon_H1c6 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H119 zenon_H1a2 zenon_H11e zenon_H138. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.62 apply (zenon_L1076_); trivial. % 1.40/1.62 apply (zenon_L1055_); trivial. % 1.40/1.62 (* end of lemma zenon_L1077_ *) % 1.40/1.62 assert (zenon_L1078_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hc2 zenon_H1a2 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L155_); trivial. % 1.40/1.62 apply (zenon_L1069_); trivial. % 1.40/1.62 (* end of lemma zenon_L1078_ *) % 1.40/1.62 assert (zenon_L1079_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L1054_); trivial. % 1.40/1.62 apply (zenon_L1078_); trivial. % 1.40/1.62 (* end of lemma zenon_L1079_ *) % 1.40/1.62 assert (zenon_L1080_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H1a2 zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_Haa zenon_Hc2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.62 apply (zenon_L216_); trivial. % 1.40/1.62 apply (zenon_L1079_); trivial. % 1.40/1.62 (* end of lemma zenon_L1080_ *) % 1.40/1.62 assert (zenon_L1081_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_L27_); trivial. % 1.40/1.62 apply (zenon_L861_); trivial. % 1.40/1.62 (* end of lemma zenon_L1081_ *) % 1.40/1.62 assert (zenon_L1082_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H138 zenon_Hac zenon_H88 zenon_H86 zenon_Hea zenon_He8 zenon_H103 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L1081_); trivial. % 1.40/1.62 apply (zenon_L391_); trivial. % 1.40/1.62 (* end of lemma zenon_L1082_ *) % 1.40/1.62 assert (zenon_L1083_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H231 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.40/1.62 apply (zenon_L216_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L155_); trivial. % 1.40/1.62 apply (zenon_L532_); trivial. % 1.40/1.62 (* end of lemma zenon_L1083_ *) % 1.40/1.62 assert (zenon_L1084_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.40/1.62 apply (zenon_L1082_); trivial. % 1.40/1.62 apply (zenon_L1083_); trivial. % 1.40/1.62 (* end of lemma zenon_L1084_ *) % 1.40/1.62 assert (zenon_L1085_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.62 apply (zenon_L493_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.40/1.62 apply (zenon_L494_); trivial. % 1.40/1.62 apply (zenon_L1084_); trivial. % 1.40/1.62 (* end of lemma zenon_L1085_ *) % 1.40/1.62 assert (zenon_L1086_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H20b zenon_H1d9 zenon_H18a zenon_H18b zenon_H1ca zenon_H231 zenon_H1bc zenon_H133 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H54 zenon_H165 zenon_H3c zenon_Hea zenon_H138 zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H21d zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.40/1.62 apply (zenon_L844_); trivial. % 1.40/1.62 apply (zenon_L1085_); trivial. % 1.40/1.62 (* end of lemma zenon_L1086_ *) % 1.40/1.62 assert (zenon_L1087_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L161_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L545_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1087_ *) % 1.40/1.62 assert (zenon_L1088_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H192 zenon_H191 zenon_H190 zenon_H86 zenon_H185. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L155_); trivial. % 1.40/1.62 apply (zenon_L1087_); trivial. % 1.40/1.62 (* end of lemma zenon_L1088_ *) % 1.40/1.62 assert (zenon_L1089_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H2b3 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6. % 1.40/1.62 generalize (zenon_H2b3 (a795)). zenon_intro zenon_H2b7. % 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b8 ]. % 1.40/1.62 exact (zenon_H11 zenon_H12). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ]. % 1.40/1.62 exact (zenon_H2b4 zenon_H2ba). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bb ]. % 1.40/1.62 exact (zenon_H2b5 zenon_H2bc). % 1.40/1.62 exact (zenon_H2b6 zenon_H2bb). % 1.40/1.62 (* end of lemma zenon_L1089_ *) % 1.40/1.62 assert (zenon_L1090_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp3)\/(hskp4))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H2bd zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_He4 zenon_H1. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2be ]. % 1.40/1.62 apply (zenon_L1089_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_He5 | zenon_intro zenon_H2 ]. % 1.40/1.62 exact (zenon_He4 zenon_He5). % 1.40/1.62 exact (zenon_H1 zenon_H2). % 1.40/1.62 (* end of lemma zenon_L1090_ *) % 1.40/1.62 assert (zenon_L1091_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp28)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H39 zenon_Hb. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c0 ]. % 1.40/1.62 apply (zenon_L1089_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H3a | zenon_intro zenon_Hc ]. % 1.40/1.62 exact (zenon_H39 zenon_H3a). % 1.40/1.62 exact (zenon_Hb zenon_Hc). % 1.40/1.62 (* end of lemma zenon_L1091_ *) % 1.40/1.62 assert (zenon_L1092_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False). % 1.40/1.62 do 0 intro. intros zenon_Hbf zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.40/1.62 apply (zenon_L1089_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.40/1.62 apply (zenon_L125_); trivial. % 1.40/1.62 apply (zenon_L87_); trivial. % 1.40/1.62 (* end of lemma zenon_L1092_ *) % 1.40/1.62 assert (zenon_L1093_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.62 apply (zenon_L58_); trivial. % 1.40/1.62 apply (zenon_L1092_); trivial. % 1.40/1.62 (* end of lemma zenon_L1093_ *) % 1.40/1.62 assert (zenon_L1094_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L1091_); trivial. % 1.40/1.62 apply (zenon_L1093_); trivial. % 1.40/1.62 (* end of lemma zenon_L1094_ *) % 1.40/1.62 assert (zenon_L1095_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H7e zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.40/1.62 apply (zenon_L98_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.40/1.62 apply (zenon_L67_); trivial. % 1.40/1.62 exact (zenon_H55 zenon_H56). % 1.40/1.62 (* end of lemma zenon_L1095_ *) % 1.40/1.62 assert (zenon_L1096_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2c1 zenon_Hfd zenon_H7e zenon_H55 zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.62 apply (zenon_L58_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.40/1.62 apply (zenon_L1089_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.62 apply (zenon_L84_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.62 apply (zenon_L1095_); trivial. % 1.40/1.62 exact (zenon_H5 zenon_H6). % 1.40/1.62 apply (zenon_L87_); trivial. % 1.40/1.62 (* end of lemma zenon_L1096_ *) % 1.40/1.62 assert (zenon_L1097_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_L1094_); trivial. % 1.40/1.62 apply (zenon_L1096_); trivial. % 1.40/1.62 (* end of lemma zenon_L1097_ *) % 1.40/1.62 assert (zenon_L1098_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_H71 zenon_H2c1 zenon_Hc2 zenon_H40 zenon_He4 zenon_H142 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L770_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.40/1.62 apply (zenon_L218_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.62 apply (zenon_L122_); trivial. % 1.40/1.62 apply (zenon_L1097_); trivial. % 1.40/1.62 (* end of lemma zenon_L1098_ *) % 1.40/1.62 assert (zenon_L1099_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1c8 zenon_H1c6 zenon_H1f2 zenon_H11e zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L428_); trivial. % 1.40/1.62 apply (zenon_L1098_); trivial. % 1.40/1.62 (* end of lemma zenon_L1099_ *) % 1.40/1.62 assert (zenon_L1100_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L1091_); trivial. % 1.40/1.62 apply (zenon_L17_); trivial. % 1.40/1.62 (* end of lemma zenon_L1100_ *) % 1.40/1.62 assert (zenon_L1101_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.40/1.62 do 0 intro. intros zenon_Hbf zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H42 zenon_H43 zenon_H44. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.40/1.62 apply (zenon_L136_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.40/1.62 apply (zenon_L67_); trivial. % 1.40/1.62 apply (zenon_L19_); trivial. % 1.40/1.62 (* end of lemma zenon_L1101_ *) % 1.40/1.62 assert (zenon_L1102_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.40/1.62 apply (zenon_L58_); trivial. % 1.40/1.62 apply (zenon_L1101_); trivial. % 1.40/1.62 (* end of lemma zenon_L1102_ *) % 1.40/1.62 assert (zenon_L1103_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hb4 zenon_H71 zenon_H165 zenon_Hc2 zenon_H54 zenon_H80. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.62 apply (zenon_L122_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_L1100_); trivial. % 1.40/1.62 apply (zenon_L1102_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.62 apply (zenon_L122_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_L1094_); trivial. % 1.40/1.62 apply (zenon_L1102_); trivial. % 1.40/1.62 (* end of lemma zenon_L1103_ *) % 1.40/1.62 assert (zenon_L1104_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H11e zenon_H1f2 zenon_H1c6 zenon_H1c8 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c4 zenon_H5 zenon_H119 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.40/1.62 apply (zenon_L1099_); trivial. % 1.40/1.62 apply (zenon_L1103_); trivial. % 1.40/1.62 (* end of lemma zenon_L1104_ *) % 1.40/1.62 assert (zenon_L1105_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a795))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H18f zenon_H12 zenon_H2b4 zenon_Hd8 zenon_H2b6. % 1.40/1.62 generalize (zenon_H18f (a795)). zenon_intro zenon_H2c3. % 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c4 ]. % 1.40/1.62 exact (zenon_H11 zenon_H12). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2c5 ]. % 1.40/1.62 exact (zenon_H2b4 zenon_H2ba). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2bb ]. % 1.40/1.62 generalize (zenon_Hd8 (a795)). zenon_intro zenon_H2c7. % 1.40/1.62 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c8 ]. % 1.40/1.62 exact (zenon_H11 zenon_H12). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2c9 ]. % 1.40/1.62 exact (zenon_H2b4 zenon_H2ba). % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2ca ]. % 1.40/1.62 exact (zenon_H2b6 zenon_H2bb). % 1.40/1.62 exact (zenon_H2ca zenon_H2c6). % 1.40/1.62 exact (zenon_H2b6 zenon_H2bb). % 1.40/1.62 (* end of lemma zenon_L1105_ *) % 1.40/1.62 assert (zenon_L1106_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.40/1.62 do 0 intro. intros zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H18f zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.40/1.62 apply (zenon_L1105_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.40/1.62 apply (zenon_L15_); trivial. % 1.40/1.62 exact (zenon_He8 zenon_He9). % 1.40/1.62 (* end of lemma zenon_L1106_ *) % 1.40/1.62 assert (zenon_L1107_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L1106_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L181_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1107_ *) % 1.40/1.62 assert (zenon_L1108_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L26_); trivial. % 1.40/1.62 apply (zenon_L1107_); trivial. % 1.40/1.62 (* end of lemma zenon_L1108_ *) % 1.40/1.62 assert (zenon_L1109_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L1106_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L116_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1109_ *) % 1.40/1.62 assert (zenon_L1110_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_Hec zenon_H54 zenon_H2e zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H2a zenon_H27 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.40/1.62 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L1091_); trivial. % 1.40/1.62 apply (zenon_L1109_); trivial. % 1.40/1.62 apply (zenon_L77_); trivial. % 1.40/1.62 (* end of lemma zenon_L1110_ *) % 1.40/1.62 assert (zenon_L1111_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H90 zenon_H8f zenon_H8e zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L1106_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L48_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1111_ *) % 1.40/1.62 assert (zenon_L1112_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H101 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L26_); trivial. % 1.40/1.62 apply (zenon_L1111_); trivial. % 1.40/1.62 (* end of lemma zenon_L1112_ *) % 1.40/1.62 assert (zenon_L1113_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H2a zenon_H2b5 zenon_H2bf zenon_H8c zenon_H8a zenon_H2e zenon_H54 zenon_Hef. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.62 apply (zenon_L1108_); trivial. % 1.40/1.62 apply (zenon_L1110_); trivial. % 1.40/1.62 apply (zenon_L1112_); trivial. % 1.40/1.62 (* end of lemma zenon_L1113_ *) % 1.40/1.62 assert (zenon_L1114_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H50 zenon_H4d zenon_H4b zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L1091_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.40/1.62 apply (zenon_L1089_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.40/1.62 apply (zenon_L478_); trivial. % 1.40/1.62 apply (zenon_L87_); trivial. % 1.40/1.62 apply (zenon_L22_); trivial. % 1.40/1.62 (* end of lemma zenon_L1114_ *) % 1.40/1.62 assert (zenon_L1115_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L1105_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L486_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1115_ *) % 1.40/1.62 assert (zenon_L1116_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H5c zenon_H5e zenon_H5d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.40/1.62 apply (zenon_L421_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.40/1.62 apply (zenon_L1115_); trivial. % 1.40/1.62 exact (zenon_H5 zenon_H6). % 1.40/1.62 (* end of lemma zenon_L1116_ *) % 1.40/1.62 assert (zenon_L1117_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H81 zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L26_); trivial. % 1.40/1.62 apply (zenon_L1116_); trivial. % 1.40/1.62 (* end of lemma zenon_L1117_ *) % 1.40/1.62 assert (zenon_L1118_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.40/1.62 apply (zenon_L1114_); trivial. % 1.40/1.62 apply (zenon_L1117_); trivial. % 1.40/1.62 (* end of lemma zenon_L1118_ *) % 1.40/1.62 assert (zenon_L1119_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H138 zenon_H124 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H2c1 zenon_Hef zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L469_); trivial. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L1113_); trivial. % 1.40/1.62 apply (zenon_L1118_); trivial. % 1.40/1.62 (* end of lemma zenon_L1119_ *) % 1.40/1.62 assert (zenon_L1120_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp24)) -> (ndr1_0) -> (c1_1 (a797)) -> (c3_1 (a797)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H16f zenon_H2b6 zenon_H2b4 zenon_H18f zenon_H3 zenon_H12 zenon_H30 zenon_H32 zenon_H163 zenon_H161. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.40/1.62 apply (zenon_L1105_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.40/1.62 apply (zenon_L181_); trivial. % 1.40/1.62 exact (zenon_H161 zenon_H162). % 1.40/1.62 (* end of lemma zenon_L1120_ *) % 1.40/1.62 assert (zenon_L1121_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.40/1.62 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H2b4 zenon_H2b6 zenon_H16f zenon_H3 zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.40/1.62 apply (zenon_L1120_); trivial. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.40/1.62 apply (zenon_L181_); trivial. % 1.40/1.62 apply (zenon_L229_); trivial. % 1.40/1.62 (* end of lemma zenon_L1121_ *) % 1.40/1.62 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H3 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L520_); trivial. % 1.40/1.62 apply (zenon_L1121_); trivial. % 1.40/1.62 (* end of lemma zenon_L1122_ *) % 1.40/1.62 assert (zenon_L1123_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H16f zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_Hef. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.40/1.62 apply (zenon_L1091_); trivial. % 1.40/1.62 apply (zenon_L1121_); trivial. % 1.40/1.62 apply (zenon_L1122_); trivial. % 1.40/1.62 apply (zenon_L119_); trivial. % 1.40/1.62 apply (zenon_L120_); trivial. % 1.40/1.62 (* end of lemma zenon_L1123_ *) % 1.40/1.62 assert (zenon_L1124_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.40/1.62 apply (zenon_L155_); trivial. % 1.40/1.62 apply (zenon_L1118_); trivial. % 1.40/1.62 (* end of lemma zenon_L1124_ *) % 1.40/1.62 assert (zenon_L1125_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H187 zenon_H138 zenon_H124 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H86 zenon_H185 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.40/1.62 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.40/1.62 apply (zenon_L469_); trivial. % 1.40/1.62 apply (zenon_L1124_); trivial. % 1.40/1.62 (* end of lemma zenon_L1125_ *) % 1.40/1.62 assert (zenon_L1126_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.40/1.62 do 0 intro. intros zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H8a zenon_H54 zenon_Hef. % 1.40/1.62 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.40/1.62 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.40/1.62 apply (zenon_L1108_); trivial. % 1.40/1.62 apply (zenon_L140_); trivial. % 1.40/1.62 apply (zenon_L1112_); trivial. % 1.40/1.62 (* end of lemma zenon_L1126_ *) % 1.40/1.62 assert (zenon_L1127_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_He4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.63 apply (zenon_L1106_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.63 apply (zenon_L146_); trivial. % 1.50/1.63 apply (zenon_L229_); trivial. % 1.50/1.63 (* end of lemma zenon_L1127_ *) % 1.50/1.63 assert (zenon_L1128_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L26_); trivial. % 1.50/1.63 apply (zenon_L1127_); trivial. % 1.50/1.63 (* end of lemma zenon_L1128_ *) % 1.50/1.63 assert (zenon_L1129_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1126_); trivial. % 1.50/1.63 apply (zenon_L1128_); trivial. % 1.50/1.63 (* end of lemma zenon_L1129_ *) % 1.50/1.63 assert (zenon_L1130_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1cd zenon_H1cc zenon_H1cb. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.50/1.63 apply (zenon_L1089_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.50/1.63 apply (zenon_L222_); trivial. % 1.50/1.63 apply (zenon_L87_); trivial. % 1.50/1.63 (* end of lemma zenon_L1130_ *) % 1.50/1.63 assert (zenon_L1131_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H2c1 zenon_H40. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L1091_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.50/1.63 apply (zenon_L1089_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.50/1.63 apply (zenon_L443_); trivial. % 1.50/1.63 apply (zenon_L87_); trivial. % 1.50/1.63 apply (zenon_L445_); trivial. % 1.50/1.63 (* end of lemma zenon_L1131_ *) % 1.50/1.63 assert (zenon_L1132_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1100_); trivial. % 1.50/1.63 apply (zenon_L445_); trivial. % 1.50/1.63 apply (zenon_L1131_); trivial. % 1.50/1.63 (* end of lemma zenon_L1132_ *) % 1.50/1.63 assert (zenon_L1133_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H2c1 zenon_H3c zenon_H2b5 zenon_H2bf zenon_H165 zenon_H54 zenon_H185 zenon_H86 zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H16e zenon_He4 zenon_H15a zenon_H159 zenon_H158 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H124. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L155_); trivial. % 1.50/1.63 apply (zenon_L1128_); trivial. % 1.50/1.63 apply (zenon_L1132_); trivial. % 1.50/1.63 (* end of lemma zenon_L1133_ *) % 1.50/1.63 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124 zenon_H165 zenon_H2bf zenon_H18b zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.63 apply (zenon_L493_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_L1129_); trivial. % 1.50/1.63 apply (zenon_L1130_); trivial. % 1.50/1.63 apply (zenon_L1132_); trivial. % 1.50/1.63 apply (zenon_L1133_); trivial. % 1.50/1.63 (* end of lemma zenon_L1134_ *) % 1.50/1.63 assert (zenon_L1135_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H153 zenon_H147 zenon_Hf0 zenon_H148 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.63 apply (zenon_L1106_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.63 apply (zenon_L190_); trivial. % 1.50/1.63 apply (zenon_L229_); trivial. % 1.50/1.63 (* end of lemma zenon_L1135_ *) % 1.50/1.63 assert (zenon_L1136_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H148 zenon_H147 zenon_Hea zenon_He8 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.63 apply (zenon_L1135_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.63 apply (zenon_L1115_); trivial. % 1.50/1.63 exact (zenon_H5 zenon_H6). % 1.50/1.63 (* end of lemma zenon_L1136_ *) % 1.50/1.63 assert (zenon_L1137_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L26_); trivial. % 1.50/1.63 apply (zenon_L1136_); trivial. % 1.50/1.63 (* end of lemma zenon_L1137_ *) % 1.50/1.63 assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H148 zenon_H147 zenon_H7e zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.63 apply (zenon_L219_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.63 apply (zenon_L1115_); trivial. % 1.50/1.63 exact (zenon_H5 zenon_H6). % 1.50/1.63 (* end of lemma zenon_L1138_ *) % 1.50/1.63 assert (zenon_L1139_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H25a zenon_H258 zenon_H264 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L26_); trivial. % 1.50/1.63 apply (zenon_L1138_); trivial. % 1.50/1.63 (* end of lemma zenon_L1139_ *) % 1.50/1.63 assert (zenon_L1140_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H40 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L155_); trivial. % 1.50/1.63 apply (zenon_L1137_); trivial. % 1.50/1.63 (* end of lemma zenon_L1140_ *) % 1.50/1.63 assert (zenon_L1141_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H86 zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H165 zenon_H3c zenon_H2c1 zenon_H138 zenon_H18b. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1113_); trivial. % 1.50/1.63 apply (zenon_L1128_); trivial. % 1.50/1.63 apply (zenon_L1132_); trivial. % 1.50/1.63 apply (zenon_L1133_); trivial. % 1.50/1.63 (* end of lemma zenon_L1141_ *) % 1.50/1.63 assert (zenon_L1142_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_Hf zenon_H18a zenon_H185 zenon_H86 zenon_H124 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_H155 zenon_H1c0 zenon_Hef zenon_H54 zenon_H2e zenon_H8c zenon_H2bf zenon_H2b5 zenon_H2a zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H1bc zenon_H16f zenon_H7e zenon_H18b zenon_H138 zenon_H2c1 zenon_H3c zenon_H165 zenon_H16e zenon_He4 zenon_H1d9. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1113_); trivial. % 1.50/1.63 apply (zenon_L1137_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1123_); trivial. % 1.50/1.63 apply (zenon_L1139_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_L1140_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L155_); trivial. % 1.50/1.63 apply (zenon_L1139_); trivial. % 1.50/1.63 apply (zenon_L1141_); trivial. % 1.50/1.63 apply (zenon_L1134_); trivial. % 1.50/1.63 (* end of lemma zenon_L1142_ *) % 1.50/1.63 assert (zenon_L1143_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L1091_); trivial. % 1.50/1.63 apply (zenon_L230_); trivial. % 1.50/1.63 (* end of lemma zenon_L1143_ *) % 1.50/1.63 assert (zenon_L1144_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H54 zenon_He8 zenon_Hea zenon_H8c zenon_H8a zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1143_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L180_); trivial. % 1.50/1.63 apply (zenon_L1107_); trivial. % 1.50/1.63 (* end of lemma zenon_L1144_ *) % 1.50/1.63 assert (zenon_L1145_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_Hef zenon_H2a zenon_H27 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8a zenon_H8c zenon_Hea zenon_He8 zenon_H54. % 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.63 apply (zenon_L1144_); trivial. % 1.50/1.63 apply (zenon_L1110_); trivial. % 1.50/1.63 (* end of lemma zenon_L1145_ *) % 1.50/1.63 assert (zenon_L1146_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_He8 zenon_H54 zenon_H108. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.63 apply (zenon_L1145_); trivial. % 1.50/1.63 apply (zenon_L232_); trivial. % 1.50/1.63 apply (zenon_L235_); trivial. % 1.50/1.63 (* end of lemma zenon_L1146_ *) % 1.50/1.63 assert (zenon_L1147_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1143_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L520_); trivial. % 1.50/1.63 apply (zenon_L230_); trivial. % 1.50/1.63 (* end of lemma zenon_L1147_ *) % 1.50/1.63 assert (zenon_L1148_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H32 zenon_H30 zenon_H31 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.63 apply (zenon_L1105_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.63 apply (zenon_L32_); trivial. % 1.50/1.63 apply (zenon_L229_); trivial. % 1.50/1.63 (* end of lemma zenon_L1148_ *) % 1.50/1.63 assert (zenon_L1149_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H16f zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H161. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H171 ]. % 1.50/1.63 apply (zenon_L1148_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H65 | zenon_intro zenon_H162 ]. % 1.50/1.63 apply (zenon_L32_); trivial. % 1.50/1.63 exact (zenon_H161 zenon_H162). % 1.50/1.63 (* end of lemma zenon_L1149_ *) % 1.50/1.63 assert (zenon_L1150_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H16f zenon_H161 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L1091_); trivial. % 1.50/1.63 apply (zenon_L1149_); trivial. % 1.50/1.63 (* end of lemma zenon_L1150_ *) % 1.50/1.63 assert (zenon_L1151_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2e zenon_H2a zenon_H27 zenon_H16 zenon_H15 zenon_H14 zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1150_); trivial. % 1.50/1.63 apply (zenon_L77_); trivial. % 1.50/1.63 (* end of lemma zenon_L1151_ *) % 1.50/1.63 assert (zenon_L1152_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_Hec zenon_H80 zenon_H2e zenon_H2a zenon_H27 zenon_H8a zenon_H8c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.50/1.63 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.50/1.63 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.50/1.63 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.63 apply (zenon_L1114_); trivial. % 1.50/1.63 apply (zenon_L1151_); trivial. % 1.50/1.63 (* end of lemma zenon_L1152_ *) % 1.50/1.63 assert (zenon_L1153_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H16f zenon_H71 zenon_H2a zenon_H80 zenon_Hef. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.63 apply (zenon_L1147_); trivial. % 1.50/1.63 apply (zenon_L1152_); trivial. % 1.50/1.63 apply (zenon_L120_); trivial. % 1.50/1.63 (* end of lemma zenon_L1153_ *) % 1.50/1.63 assert (zenon_L1154_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H80 zenon_H2a zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H55 zenon_H7e zenon_H108. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1153_); trivial. % 1.50/1.63 apply (zenon_L235_); trivial. % 1.50/1.63 (* end of lemma zenon_L1154_ *) % 1.50/1.63 assert (zenon_L1155_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H55 zenon_H50 zenon_H4d zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_L1146_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_L236_); trivial. % 1.50/1.63 apply (zenon_L1154_); trivial. % 1.50/1.63 apply (zenon_L241_); trivial. % 1.50/1.63 (* end of lemma zenon_L1155_ *) % 1.50/1.63 assert (zenon_L1156_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1100_); trivial. % 1.50/1.63 apply (zenon_L22_); trivial. % 1.50/1.63 (* end of lemma zenon_L1156_ *) % 1.50/1.63 assert (zenon_L1157_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H81 zenon_H54 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1100_); trivial. % 1.50/1.63 apply (zenon_L456_); trivial. % 1.50/1.63 (* end of lemma zenon_L1157_ *) % 1.50/1.63 assert (zenon_L1158_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H80 zenon_H165 zenon_H71 zenon_H15a zenon_H159 zenon_H158 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.63 apply (zenon_L1156_); trivial. % 1.50/1.63 apply (zenon_L1157_); trivial. % 1.50/1.63 (* end of lemma zenon_L1158_ *) % 1.50/1.63 assert (zenon_L1159_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H3 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L200_); trivial. % 1.50/1.63 apply (zenon_L230_); trivial. % 1.50/1.63 (* end of lemma zenon_L1159_ *) % 1.50/1.63 assert (zenon_L1160_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H3 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1143_); trivial. % 1.50/1.63 apply (zenon_L1159_); trivial. % 1.50/1.63 (* end of lemma zenon_L1160_ *) % 1.50/1.63 assert (zenon_L1161_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H108 zenon_H54 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H50 zenon_H4d zenon_Hfd zenon_H2c1 zenon_H16f zenon_H71 zenon_H2a zenon_H80 zenon_Hef. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.63 apply (zenon_L1160_); trivial. % 1.50/1.63 apply (zenon_L1152_); trivial. % 1.50/1.63 apply (zenon_L232_); trivial. % 1.50/1.63 (* end of lemma zenon_L1161_ *) % 1.50/1.63 assert (zenon_L1162_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18a zenon_H86 zenon_H185 zenon_H138 zenon_H124 zenon_He4 zenon_H16e zenon_Hef zenon_H2a zenon_H16f zenon_H2c1 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2e zenon_Hea zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H108 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80 zenon_H18b. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_L1158_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1161_); trivial. % 1.50/1.63 apply (zenon_L504_); trivial. % 1.50/1.63 apply (zenon_L1132_); trivial. % 1.50/1.63 apply (zenon_L513_); trivial. % 1.50/1.63 (* end of lemma zenon_L1162_ *) % 1.50/1.63 assert (zenon_L1163_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H54 zenon_H7e zenon_H55 zenon_H8c zenon_H163 zenon_H161 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L465_); trivial. % 1.50/1.63 apply (zenon_L504_); trivial. % 1.50/1.63 (* end of lemma zenon_L1163_ *) % 1.50/1.63 assert (zenon_L1164_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.63 apply (zenon_L508_); trivial. % 1.50/1.63 apply (zenon_L170_); trivial. % 1.50/1.63 (* end of lemma zenon_L1164_ *) % 1.50/1.63 assert (zenon_L1165_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H124 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_H133 zenon_He8 zenon_Hea zenon_H2e zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1164_); trivial. % 1.50/1.63 apply (zenon_L504_); trivial. % 1.50/1.63 (* end of lemma zenon_L1165_ *) % 1.50/1.63 assert (zenon_L1166_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H3c zenon_H16e zenon_He4 zenon_H165 zenon_H231 zenon_H18b zenon_H1ca zenon_H10b zenon_H54 zenon_H11e zenon_Hd4 zenon_H55 zenon_H7e zenon_Hef zenon_H1a2 zenon_H2e zenon_H163 zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_H185 zenon_H86 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_H133 zenon_Hea zenon_H2a zenon_H1e4 zenon_H124 zenon_H138 zenon_H18a. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.63 apply (zenon_L947_); trivial. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_L1163_); trivial. % 1.50/1.63 apply (zenon_L1165_); trivial. % 1.50/1.63 apply (zenon_L449_); trivial. % 1.50/1.63 apply (zenon_L513_); trivial. % 1.50/1.63 (* end of lemma zenon_L1166_ *) % 1.50/1.63 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.63 apply (zenon_L1156_); trivial. % 1.50/1.63 apply (zenon_L1117_); trivial. % 1.50/1.63 (* end of lemma zenon_L1167_ *) % 1.50/1.63 assert (zenon_L1168_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.63 apply (zenon_L1106_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.63 apply (zenon_L554_); trivial. % 1.50/1.63 apply (zenon_L229_); trivial. % 1.50/1.63 (* end of lemma zenon_L1168_ *) % 1.50/1.63 assert (zenon_L1169_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1e2 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L26_); trivial. % 1.50/1.63 apply (zenon_L1168_); trivial. % 1.50/1.63 (* end of lemma zenon_L1169_ *) % 1.50/1.63 assert (zenon_L1170_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H50 zenon_H4d zenon_H2bf zenon_H2b5 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1126_); trivial. % 1.50/1.63 apply (zenon_L1167_); trivial. % 1.50/1.63 apply (zenon_L1169_); trivial. % 1.50/1.63 (* end of lemma zenon_L1170_ *) % 1.50/1.63 assert (zenon_L1171_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H7e zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H161 zenon_H16f zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H108. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L1123_); trivial. % 1.50/1.63 apply (zenon_L215_); trivial. % 1.50/1.63 (* end of lemma zenon_L1171_ *) % 1.50/1.63 assert (zenon_L1172_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H161 zenon_H163 zenon_H3 zenon_H2b4 zenon_H2b6 zenon_H16f zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_Hd9 zenon_Hd7 zenon_H1f4 zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.63 apply (zenon_L1120_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.63 apply (zenon_L554_); trivial. % 1.50/1.63 apply (zenon_L229_); trivial. % 1.50/1.63 (* end of lemma zenon_L1172_ *) % 1.50/1.63 assert (zenon_L1173_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H108 zenon_H40 zenon_H1e2 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H55 zenon_H57 zenon_H59 zenon_H2a zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_Hef. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L26_); trivial. % 1.50/1.63 apply (zenon_L1172_); trivial. % 1.50/1.63 apply (zenon_L119_); trivial. % 1.50/1.63 apply (zenon_L120_); trivial. % 1.50/1.63 (* end of lemma zenon_L1173_ *) % 1.50/1.63 assert (zenon_L1174_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H124 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1be zenon_H1c0 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.63 apply (zenon_L155_); trivial. % 1.50/1.63 apply (zenon_L1167_); trivial. % 1.50/1.63 (* end of lemma zenon_L1174_ *) % 1.50/1.63 assert (zenon_L1175_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1100_); trivial. % 1.50/1.63 apply (zenon_L559_); trivial. % 1.50/1.63 (* end of lemma zenon_L1175_ *) % 1.50/1.63 assert (zenon_L1176_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H3b zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_Hfd zenon_Hd7 zenon_Hd9. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.50/1.63 apply (zenon_L1089_); trivial. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.50/1.63 apply (zenon_L375_); trivial. % 1.50/1.63 apply (zenon_L87_); trivial. % 1.50/1.63 (* end of lemma zenon_L1176_ *) % 1.50/1.63 assert (zenon_L1177_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.63 apply (zenon_L1091_); trivial. % 1.50/1.63 apply (zenon_L1176_); trivial. % 1.50/1.63 (* end of lemma zenon_L1177_ *) % 1.50/1.63 assert (zenon_L1178_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.63 apply (zenon_L1177_); trivial. % 1.50/1.63 apply (zenon_L559_); trivial. % 1.50/1.63 (* end of lemma zenon_L1178_ *) % 1.50/1.63 assert (zenon_L1179_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.63 do 0 intro. intros zenon_H18c zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.63 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.63 apply (zenon_L1175_); trivial. % 1.50/1.63 apply (zenon_L1178_); trivial. % 1.50/1.63 apply (zenon_L1132_); trivial. % 1.50/1.63 (* end of lemma zenon_L1179_ *) % 1.50/1.63 assert (zenon_L1180_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.50/1.63 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.50/1.63 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.50/1.64 apply (zenon_L297_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.50/1.64 apply (zenon_L306_); trivial. % 1.50/1.64 apply (zenon_L11_); trivial. % 1.50/1.64 (* end of lemma zenon_L1180_ *) % 1.50/1.64 assert (zenon_L1181_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.50/1.64 do 0 intro. intros zenon_H155 zenon_H20 zenon_H1f zenon_H1e zenon_H30 zenon_H31 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.50/1.64 apply (zenon_L1180_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.50/1.64 apply (zenon_L420_); trivial. % 1.50/1.64 exact (zenon_H153 zenon_H154). % 1.50/1.64 (* end of lemma zenon_L1181_ *) % 1.50/1.64 assert (zenon_L1182_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> False). % 1.50/1.64 do 0 intro. intros zenon_H29 zenon_H1c4 zenon_H5c zenon_H5e zenon_H5d zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H155 zenon_H5. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.64 apply (zenon_L421_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.64 apply (zenon_L1181_); trivial. % 1.50/1.64 exact (zenon_H5 zenon_H6). % 1.50/1.64 (* end of lemma zenon_L1182_ *) % 1.50/1.64 assert (zenon_L1183_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H3b zenon_H2e zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.64 apply (zenon_L46_); trivial. % 1.50/1.64 apply (zenon_L1182_); trivial. % 1.50/1.64 (* end of lemma zenon_L1183_ *) % 1.50/1.64 assert (zenon_L1184_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.64 apply (zenon_L520_); trivial. % 1.50/1.64 apply (zenon_L1183_); trivial. % 1.50/1.64 (* end of lemma zenon_L1184_ *) % 1.50/1.64 assert (zenon_L1185_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1150_); trivial. % 1.50/1.64 apply (zenon_L1184_); trivial. % 1.50/1.64 (* end of lemma zenon_L1185_ *) % 1.50/1.64 assert (zenon_L1186_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H80 zenon_H1c4 zenon_H5 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H161 zenon_H16f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.64 apply (zenon_L1114_); trivial. % 1.50/1.64 apply (zenon_L1185_); trivial. % 1.50/1.64 (* end of lemma zenon_L1186_ *) % 1.50/1.64 assert (zenon_L1187_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H210 zenon_H20f zenon_H18b zenon_H138 zenon_H80 zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H55 zenon_H7e zenon_Hf zenon_H3c zenon_H108 zenon_H54 zenon_Hea zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2a zenon_Hef zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_L1155_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 (* end of lemma zenon_L1187_ *) % 1.50/1.64 assert (zenon_L1188_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H1c0 zenon_H1be zenon_Hef zenon_H8c zenon_H2a zenon_H3c zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hd zenon_Hf zenon_H54 zenon_H108. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1143_); trivial. % 1.50/1.64 apply (zenon_L581_); trivial. % 1.50/1.64 apply (zenon_L140_); trivial. % 1.50/1.64 apply (zenon_L232_); trivial. % 1.50/1.64 apply (zenon_L500_); trivial. % 1.50/1.64 (* end of lemma zenon_L1188_ *) % 1.50/1.64 assert (zenon_L1189_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c zenon_H54. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.64 apply (zenon_L1160_); trivial. % 1.50/1.64 apply (zenon_L170_); trivial. % 1.50/1.64 (* end of lemma zenon_L1189_ *) % 1.50/1.64 assert (zenon_L1190_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L1189_); trivial. % 1.50/1.64 apply (zenon_L235_); trivial. % 1.50/1.64 (* end of lemma zenon_L1190_ *) % 1.50/1.64 assert (zenon_L1191_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.64 apply (zenon_L1147_); trivial. % 1.50/1.64 apply (zenon_L170_); trivial. % 1.50/1.64 apply (zenon_L235_); trivial. % 1.50/1.64 (* end of lemma zenon_L1191_ *) % 1.50/1.64 assert (zenon_L1192_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_L493_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 (* end of lemma zenon_L1192_ *) % 1.50/1.64 assert (zenon_L1193_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H18a zenon_H185 zenon_H138 zenon_H86 zenon_H1e4 zenon_H1c2 zenon_H5 zenon_H1a2 zenon_H108 zenon_H54 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H3c zenon_H2a zenon_H8c zenon_Hef zenon_H1c0 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H124 zenon_H18b zenon_H2c1 zenon_H165 zenon_H1d9. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_L1188_); trivial. % 1.50/1.64 apply (zenon_L1190_); trivial. % 1.50/1.64 apply (zenon_L1191_); trivial. % 1.50/1.64 apply (zenon_L241_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 apply (zenon_L1192_); trivial. % 1.50/1.64 (* end of lemma zenon_L1193_ *) % 1.50/1.64 assert (zenon_L1194_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1c2 zenon_H5 zenon_H1a2 zenon_H1c0 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H55 zenon_H50 zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b zenon_H20f zenon_H210 zenon_H165 zenon_H1d9. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.64 apply (zenon_L1187_); trivial. % 1.50/1.64 apply (zenon_L1193_); trivial. % 1.50/1.64 (* end of lemma zenon_L1194_ *) % 1.50/1.64 assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H11d zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1177_); trivial. % 1.50/1.64 apply (zenon_L1063_); trivial. % 1.50/1.64 (* end of lemma zenon_L1195_ *) % 1.50/1.64 assert (zenon_L1196_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L418_); trivial. % 1.50/1.64 apply (zenon_L1195_); trivial. % 1.50/1.64 (* end of lemma zenon_L1196_ *) % 1.50/1.64 assert (zenon_L1197_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_L428_); trivial. % 1.50/1.64 apply (zenon_L1196_); trivial. % 1.50/1.64 (* end of lemma zenon_L1197_ *) % 1.50/1.64 assert (zenon_L1198_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L418_); trivial. % 1.50/1.64 apply (zenon_L215_); trivial. % 1.50/1.64 (* end of lemma zenon_L1198_ *) % 1.50/1.64 assert (zenon_L1199_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H202 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.64 apply (zenon_L1198_); trivial. % 1.50/1.64 apply (zenon_L262_); trivial. % 1.50/1.64 (* end of lemma zenon_L1199_ *) % 1.50/1.64 assert (zenon_L1200_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H1ca zenon_H202 zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H2c1 zenon_H210 zenon_H20f zenon_Hea zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H119 zenon_Hd4 zenon_H54 zenon_H124 zenon_H138 zenon_H18b. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.64 apply (zenon_L1197_); trivial. % 1.50/1.64 apply (zenon_L262_); trivial. % 1.50/1.64 apply (zenon_L1199_); trivial. % 1.50/1.64 apply (zenon_L1103_); trivial. % 1.50/1.64 (* end of lemma zenon_L1200_ *) % 1.50/1.64 assert (zenon_L1201_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L475_); trivial. % 1.50/1.64 apply (zenon_L1122_); trivial. % 1.50/1.64 apply (zenon_L140_); trivial. % 1.50/1.64 apply (zenon_L120_); trivial. % 1.50/1.64 (* end of lemma zenon_L1201_ *) % 1.50/1.64 assert (zenon_L1202_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.64 apply (zenon_L904_); trivial. % 1.50/1.64 apply (zenon_L610_); trivial. % 1.50/1.64 (* end of lemma zenon_L1202_ *) % 1.50/1.64 assert (zenon_L1203_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp12)) -> False). % 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_H2b6 zenon_H2b4 zenon_H12 zenon_H18f zenon_H1be. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.64 apply (zenon_L389_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.64 apply (zenon_L1105_); trivial. % 1.50/1.64 exact (zenon_H1be zenon_H1bf). % 1.50/1.64 (* end of lemma zenon_L1203_ *) % 1.50/1.64 assert (zenon_L1204_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H11d zenon_Hac zenon_H1e2 zenon_H153 zenon_H1e4 zenon_H23b zenon_H1dd zenon_H2b4 zenon_H2b6 zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hd zenon_Hf zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ae zenon_H1ad zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H1c0 zenon_H21d zenon_H40. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.50/1.64 apply (zenon_L1202_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.64 apply (zenon_L1203_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.64 apply (zenon_L234_); trivial. % 1.50/1.64 apply (zenon_L229_); trivial. % 1.50/1.64 (* end of lemma zenon_L1204_ *) % 1.50/1.64 assert (zenon_L1205_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False). % 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.64 apply (zenon_L266_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.64 apply (zenon_L74_); trivial. % 1.50/1.64 exact (zenon_H1be zenon_H1bf). % 1.50/1.64 (* end of lemma zenon_L1205_ *) % 1.50/1.64 assert (zenon_L1206_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H71 zenon_H210 zenon_H20f zenon_H21d zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.64 apply (zenon_L26_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.50/1.64 apply (zenon_L1089_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.64 apply (zenon_L189_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.64 apply (zenon_L307_); trivial. % 1.50/1.64 exact (zenon_H1be zenon_H1bf). % 1.50/1.64 apply (zenon_L87_); trivial. % 1.50/1.64 (* end of lemma zenon_L1206_ *) % 1.50/1.64 assert (zenon_L1207_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False). % 1.50/1.64 do 0 intro. intros zenon_H21d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H210 zenon_H20f zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H23b zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.64 apply (zenon_L389_); trivial. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.64 apply (zenon_L74_); trivial. % 1.50/1.64 exact (zenon_H1be zenon_H1bf). % 1.50/1.64 (* end of lemma zenon_L1207_ *) % 1.50/1.64 assert (zenon_L1208_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a832))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H11d zenon_Hac zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H21d zenon_H1be zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H59 zenon_H57 zenon_H55 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H20f zenon_H210 zenon_H71 zenon_H1c0 zenon_H7e zenon_Hfd zenon_H2c1 zenon_H40 zenon_H54. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.64 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1205_); trivial. % 1.50/1.64 apply (zenon_L1206_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.50/1.64 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1207_); trivial. % 1.50/1.64 apply (zenon_L1206_); trivial. % 1.50/1.64 (* end of lemma zenon_L1208_ *) % 1.50/1.64 assert (zenon_L1209_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H23b zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H20f zenon_H210 zenon_H71 zenon_H1c0 zenon_H2c1 zenon_Hef zenon_H7e zenon_H2a zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H161 zenon_H16f zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54 zenon_H108. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L1123_); trivial. % 1.50/1.64 apply (zenon_L1208_); trivial. % 1.50/1.64 (* end of lemma zenon_L1209_ *) % 1.50/1.64 assert (zenon_L1210_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He4 zenon_He6 zenon_H2c1 zenon_Hf zenon_H3c zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H23b zenon_H1e4 zenon_H153 zenon_Hac zenon_H108 zenon_H54 zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H16f zenon_H161 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2a zenon_H7e zenon_Hef zenon_Hd4 zenon_H124. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.64 apply (zenon_L1171_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L1201_); trivial. % 1.50/1.64 apply (zenon_L1204_); trivial. % 1.50/1.64 apply (zenon_L1209_); trivial. % 1.50/1.64 (* end of lemma zenon_L1210_ *) % 1.50/1.64 assert (zenon_L1211_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_He8 zenon_Hea zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_L1174_); trivial. % 1.50/1.64 apply (zenon_L1169_); trivial. % 1.50/1.64 (* end of lemma zenon_L1211_ *) % 1.50/1.64 assert (zenon_L1212_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c1_1 (a795))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_He4 zenon_He6 zenon_H59 zenon_H57 zenon_H55 zenon_H2b5 zenon_H7e zenon_H2c1 zenon_H54 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H2b6 zenon_H2b4 zenon_H1dd zenon_H23b zenon_H1e4 zenon_H153 zenon_H1e2 zenon_Hac zenon_H124. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L155_); trivial. % 1.50/1.64 apply (zenon_L1204_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L155_); trivial. % 1.50/1.64 apply (zenon_L1208_); trivial. % 1.50/1.64 (* end of lemma zenon_L1212_ *) % 1.50/1.64 assert (zenon_L1213_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_He4 zenon_He6 zenon_H59 zenon_H57 zenon_H2b5 zenon_H2c1 zenon_H54 zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H1ad zenon_H1ae zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H2e zenon_H2b6 zenon_H2b4 zenon_H1dd zenon_H23b zenon_H1e4 zenon_H153 zenon_H1e2 zenon_Hac zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.64 apply (zenon_L216_); trivial. % 1.50/1.64 apply (zenon_L1212_); trivial. % 1.50/1.64 (* end of lemma zenon_L1213_ *) % 1.50/1.64 assert (zenon_L1214_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H8c zenon_H16f zenon_H161 zenon_H163 zenon_H2b6 zenon_H2b4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_H55 zenon_H7e zenon_H108. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L1201_); trivial. % 1.50/1.64 apply (zenon_L215_); trivial. % 1.50/1.64 (* end of lemma zenon_L1214_ *) % 1.50/1.64 assert (zenon_L1215_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H138 zenon_H80 zenon_H71 zenon_H2c1 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H2b5 zenon_H2bf zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_L1214_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.64 apply (zenon_L1153_); trivial. % 1.50/1.64 apply (zenon_L215_); trivial. % 1.50/1.64 (* end of lemma zenon_L1215_ *) % 1.50/1.64 assert (zenon_L1216_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1a2 zenon_H18a zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H138 zenon_H80 zenon_H71 zenon_H2c1 zenon_H50 zenon_H7e zenon_H55 zenon_H16f zenon_Hf zenon_H3c zenon_Hd4 zenon_H185 zenon_H264 zenon_H258 zenon_H25a zenon_H10b zenon_H210 zenon_H20f zenon_H221 zenon_H133 zenon_H11e zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H235 zenon_H1ca zenon_H18b zenon_H165 zenon_H1d9. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.64 apply (zenon_L1146_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.64 apply (zenon_L1215_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.50/1.64 apply (zenon_L592_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.64 apply (zenon_L370_); trivial. % 1.50/1.64 apply (zenon_L1154_); trivial. % 1.50/1.64 apply (zenon_L241_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_L655_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 (* end of lemma zenon_L1216_ *) % 1.50/1.64 assert (zenon_L1217_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H18b zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138 zenon_H86 zenon_H1e4. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.64 apply (zenon_L244_); trivial. % 1.50/1.64 apply (zenon_L1179_); trivial. % 1.50/1.64 (* end of lemma zenon_L1217_ *) % 1.50/1.64 assert (zenon_L1218_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.64 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.64 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.64 apply (zenon_L1094_); trivial. % 1.50/1.64 apply (zenon_L69_); trivial. % 1.50/1.64 (* end of lemma zenon_L1218_ *) % 1.50/1.64 assert (zenon_L1219_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.64 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H40 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_L418_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L122_); trivial. % 1.50/1.65 apply (zenon_L1218_); trivial. % 1.50/1.65 (* end of lemma zenon_L1219_ *) % 1.50/1.65 assert (zenon_L1220_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L428_); trivial. % 1.50/1.65 apply (zenon_L1219_); trivial. % 1.50/1.65 (* end of lemma zenon_L1220_ *) % 1.50/1.65 assert (zenon_L1221_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L1091_); trivial. % 1.50/1.65 apply (zenon_L638_); trivial. % 1.50/1.65 (* end of lemma zenon_L1221_ *) % 1.50/1.65 assert (zenon_L1222_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1221_); trivial. % 1.50/1.65 apply (zenon_L852_); trivial. % 1.50/1.65 (* end of lemma zenon_L1222_ *) % 1.50/1.65 assert (zenon_L1223_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H18a zenon_H185 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_H54 zenon_Hea zenon_H8c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H147 zenon_H1a4 zenon_H148 zenon_H1a2 zenon_Hef zenon_H18b. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.50/1.65 apply (zenon_L1144_); trivial. % 1.50/1.65 apply (zenon_L170_); trivial. % 1.50/1.65 apply (zenon_L235_); trivial. % 1.50/1.65 apply (zenon_L1191_); trivial. % 1.50/1.65 apply (zenon_L241_); trivial. % 1.50/1.65 (* end of lemma zenon_L1223_ *) % 1.50/1.65 assert (zenon_L1224_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H18b zenon_Hef zenon_H1a2 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H1e4 zenon_H86 zenon_H124 zenon_H185 zenon_H18a. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.65 apply (zenon_L1223_); trivial. % 1.50/1.65 apply (zenon_L1222_); trivial. % 1.50/1.65 (* end of lemma zenon_L1224_ *) % 1.50/1.65 assert (zenon_L1225_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H2a zenon_H1e2 zenon_H163 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H8c zenon_Hea zenon_H54 zenon_H108 zenon_H3c zenon_Hf zenon_H7e zenon_H50 zenon_H2c1 zenon_H16f zenon_H71 zenon_H80 zenon_H138 zenon_H18b zenon_H165 zenon_H1d9 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.50/1.65 apply (zenon_L644_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.65 apply (zenon_L1155_); trivial. % 1.50/1.65 apply (zenon_L1222_); trivial. % 1.50/1.65 apply (zenon_L1224_); trivial. % 1.50/1.65 (* end of lemma zenon_L1225_ *) % 1.50/1.65 assert (zenon_L1226_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H246 zenon_H245 zenon_H244 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1177_); trivial. % 1.50/1.65 apply (zenon_L1026_); trivial. % 1.50/1.65 (* end of lemma zenon_L1226_ *) % 1.50/1.65 assert (zenon_L1227_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H124 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L639_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_L770_); trivial. % 1.50/1.65 apply (zenon_L1226_); trivial. % 1.50/1.65 (* end of lemma zenon_L1227_ *) % 1.50/1.65 assert (zenon_L1228_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H1c6 zenon_H1c8 zenon_H127 zenon_H125 zenon_H133 zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.65 apply (zenon_L1198_); trivial. % 1.50/1.65 apply (zenon_L642_); trivial. % 1.50/1.65 (* end of lemma zenon_L1228_ *) % 1.50/1.65 assert (zenon_L1229_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1d9 zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H86 zenon_H1e4. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.65 apply (zenon_L244_); trivial. % 1.50/1.65 apply (zenon_L1222_); trivial. % 1.50/1.65 (* end of lemma zenon_L1229_ *) % 1.50/1.65 assert (zenon_L1230_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H80 zenon_H8a zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1156_); trivial. % 1.50/1.65 apply (zenon_L798_); trivial. % 1.50/1.65 (* end of lemma zenon_L1230_ *) % 1.50/1.65 assert (zenon_L1231_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1156_); trivial. % 1.50/1.65 apply (zenon_L70_); trivial. % 1.50/1.65 (* end of lemma zenon_L1231_ *) % 1.50/1.65 assert (zenon_L1232_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_L1230_); trivial. % 1.50/1.65 apply (zenon_L1231_); trivial. % 1.50/1.65 (* end of lemma zenon_L1232_ *) % 1.50/1.65 assert (zenon_L1233_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_H109 zenon_H10d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1114_); trivial. % 1.50/1.65 apply (zenon_L95_); trivial. % 1.50/1.65 (* end of lemma zenon_L1233_ *) % 1.50/1.65 assert (zenon_L1234_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1114_); trivial. % 1.50/1.65 apply (zenon_L1218_); trivial. % 1.50/1.65 (* end of lemma zenon_L1234_ *) % 1.50/1.65 assert (zenon_L1235_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H10d zenon_H2c1 zenon_H1f2 zenon_H11e zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1232_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.65 apply (zenon_L1233_); trivial. % 1.50/1.65 apply (zenon_L255_); trivial. % 1.50/1.65 apply (zenon_L1234_); trivial. % 1.50/1.65 (* end of lemma zenon_L1235_ *) % 1.50/1.65 assert (zenon_L1236_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H81 zenon_H54 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L63_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L676_); trivial. % 1.50/1.65 apply (zenon_L760_); trivial. % 1.50/1.65 (* end of lemma zenon_L1236_ *) % 1.50/1.65 assert (zenon_L1237_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H11d zenon_H80 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1156_); trivial. % 1.50/1.65 apply (zenon_L1236_); trivial. % 1.50/1.65 (* end of lemma zenon_L1237_ *) % 1.50/1.65 assert (zenon_L1238_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H124 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.65 apply (zenon_L1230_); trivial. % 1.50/1.65 apply (zenon_L1237_); trivial. % 1.50/1.65 (* end of lemma zenon_L1238_ *) % 1.50/1.65 assert (zenon_L1239_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> False). % 1.50/1.65 do 0 intro. intros zenon_H3b zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_Hfd zenon_Hd7 zenon_Hd9. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2c2 ]. % 1.50/1.65 apply (zenon_L1089_); trivial. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfc ]. % 1.50/1.65 apply (zenon_L667_); trivial. % 1.50/1.65 apply (zenon_L87_); trivial. % 1.50/1.65 (* end of lemma zenon_L1239_ *) % 1.50/1.65 assert (zenon_L1240_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L26_); trivial. % 1.50/1.65 apply (zenon_L1239_); trivial. % 1.50/1.65 (* end of lemma zenon_L1240_ *) % 1.50/1.65 assert (zenon_L1241_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.65 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.65 apply (zenon_L1106_); trivial. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.65 apply (zenon_L32_); trivial. % 1.50/1.65 apply (zenon_L229_); trivial. % 1.50/1.65 (* end of lemma zenon_L1241_ *) % 1.50/1.65 assert (zenon_L1242_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L676_); trivial. % 1.50/1.65 apply (zenon_L1241_); trivial. % 1.50/1.65 (* end of lemma zenon_L1242_ *) % 1.50/1.65 assert (zenon_L1243_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L55_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L27_); trivial. % 1.50/1.65 apply (zenon_L1242_); trivial. % 1.50/1.65 apply (zenon_L1240_); trivial. % 1.50/1.65 (* end of lemma zenon_L1243_ *) % 1.50/1.65 assert (zenon_L1244_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H18b zenon_H108 zenon_H7 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2b5 zenon_H2c1 zenon_H138. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.65 apply (zenon_L1243_); trivial. % 1.50/1.65 apply (zenon_L153_); trivial. % 1.50/1.65 (* end of lemma zenon_L1244_ *) % 1.50/1.65 assert (zenon_L1245_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_H2c1 zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.65 apply (zenon_L1233_); trivial. % 1.50/1.65 apply (zenon_L733_); trivial. % 1.50/1.65 (* end of lemma zenon_L1245_ *) % 1.50/1.65 assert (zenon_L1246_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L407_); trivial. % 1.50/1.65 apply (zenon_L1245_); trivial. % 1.50/1.65 (* end of lemma zenon_L1246_ *) % 1.50/1.65 assert (zenon_L1247_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H20b zenon_H127 zenon_H125 zenon_H1c2 zenon_H5 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hf zenon_H3c zenon_H40 zenon_H80 zenon_H102 zenon_H1 zenon_H10d zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.65 apply (zenon_L1246_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1156_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1100_); trivial. % 1.50/1.65 apply (zenon_L677_); trivial. % 1.50/1.65 apply (zenon_L733_); trivial. % 1.50/1.65 apply (zenon_L1130_); trivial. % 1.50/1.65 (* end of lemma zenon_L1247_ *) % 1.50/1.65 assert (zenon_L1248_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H20b. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.65 apply (zenon_L1247_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1100_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L676_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.50/1.65 apply (zenon_L735_); trivial. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.50/1.65 apply (zenon_L15_); trivial. % 1.50/1.65 exact (zenon_H125 zenon_H126). % 1.50/1.65 apply (zenon_L736_); trivial. % 1.50/1.65 (* end of lemma zenon_L1248_ *) % 1.50/1.65 assert (zenon_L1249_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp27)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H39 zenon_H2bf. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L1091_); trivial. % 1.50/1.65 apply (zenon_L1239_); trivial. % 1.50/1.65 (* end of lemma zenon_L1249_ *) % 1.50/1.65 assert (zenon_L1250_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H54 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1249_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L758_); trivial. % 1.50/1.65 apply (zenon_L1239_); trivial. % 1.50/1.65 (* end of lemma zenon_L1250_ *) % 1.50/1.65 assert (zenon_L1251_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H138 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1232_); trivial. % 1.50/1.65 apply (zenon_L1250_); trivial. % 1.50/1.65 (* end of lemma zenon_L1251_ *) % 1.50/1.65 assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2c1 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H231 zenon_H124. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1238_); trivial. % 1.50/1.65 apply (zenon_L1250_); trivial. % 1.50/1.65 (* end of lemma zenon_L1252_ *) % 1.50/1.65 assert (zenon_L1253_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H1ca zenon_H1bc zenon_H231 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H138. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.65 apply (zenon_L1251_); trivial. % 1.50/1.65 apply (zenon_L1252_); trivial. % 1.50/1.65 (* end of lemma zenon_L1253_ *) % 1.50/1.65 assert (zenon_L1254_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1100_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L676_); trivial. % 1.50/1.65 apply (zenon_L752_); trivial. % 1.50/1.65 (* end of lemma zenon_L1254_ *) % 1.50/1.65 assert (zenon_L1255_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1100_); trivial. % 1.50/1.65 apply (zenon_L707_); trivial. % 1.50/1.65 (* end of lemma zenon_L1255_ *) % 1.50/1.65 assert (zenon_L1256_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1255_); trivial. % 1.50/1.65 apply (zenon_L1130_); trivial. % 1.50/1.65 (* end of lemma zenon_L1256_ *) % 1.50/1.65 assert (zenon_L1257_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H20b zenon_H1d9 zenon_H155 zenon_H1c2 zenon_H5 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H54 zenon_H50 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80 zenon_H102 zenon_H1 zenon_H2c1 zenon_H138. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.65 apply (zenon_L1156_); trivial. % 1.50/1.65 apply (zenon_L281_); trivial. % 1.50/1.65 apply (zenon_L733_); trivial. % 1.50/1.65 apply (zenon_L1245_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.65 apply (zenon_L776_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1254_); trivial. % 1.50/1.65 apply (zenon_L736_); trivial. % 1.50/1.65 apply (zenon_L1256_); trivial. % 1.50/1.65 (* end of lemma zenon_L1257_ *) % 1.50/1.65 assert (zenon_L1258_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H40 zenon_H2c1 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L26_); trivial. % 1.50/1.65 apply (zenon_L1176_); trivial. % 1.50/1.65 (* end of lemma zenon_L1258_ *) % 1.50/1.65 assert (zenon_L1259_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1100_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.65 apply (zenon_L676_); trivial. % 1.50/1.65 apply (zenon_L785_); trivial. % 1.50/1.65 (* end of lemma zenon_L1259_ *) % 1.50/1.65 assert (zenon_L1260_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H40. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.65 apply (zenon_L1249_); trivial. % 1.50/1.65 apply (zenon_L707_); trivial. % 1.50/1.65 (* end of lemma zenon_L1260_ *) % 1.50/1.65 assert (zenon_L1261_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1255_); trivial. % 1.50/1.65 apply (zenon_L1260_); trivial. % 1.50/1.65 (* end of lemma zenon_L1261_ *) % 1.50/1.65 assert (zenon_L1262_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H1d9 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H155 zenon_H138 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H5 zenon_H1c2 zenon_H125 zenon_H127 zenon_H20b. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.65 apply (zenon_L1247_); trivial. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1259_); trivial. % 1.50/1.65 apply (zenon_L736_); trivial. % 1.50/1.65 apply (zenon_L1261_); trivial. % 1.50/1.65 (* end of lemma zenon_L1262_ *) % 1.50/1.65 assert (zenon_L1263_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H10d zenon_H1 zenon_H102 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H231 zenon_H124. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.65 apply (zenon_L1238_); trivial. % 1.50/1.65 apply (zenon_L688_); trivial. % 1.50/1.65 (* end of lemma zenon_L1263_ *) % 1.50/1.65 assert (zenon_L1264_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.65 do 0 intro. intros zenon_H187 zenon_H1ca zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H86 zenon_H185 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H231 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H11e zenon_H1f2 zenon_H2c1 zenon_H10d zenon_H1 zenon_H102 zenon_H138. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.50/1.65 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.50/1.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.65 apply (zenon_L1235_); trivial. % 1.50/1.65 apply (zenon_L1263_); trivial. % 1.50/1.65 (* end of lemma zenon_L1264_ *) % 1.50/1.65 assert (zenon_L1265_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_L224_); trivial. % 1.50/1.66 apply (zenon_L1261_); trivial. % 1.50/1.66 (* end of lemma zenon_L1265_ *) % 1.50/1.66 assert (zenon_L1266_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2c1 zenon_H80 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H5 zenon_H1c2 zenon_H231 zenon_H124 zenon_Hd4 zenon_Hef zenon_H2a zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H8c zenon_H163 zenon_H161 zenon_H55 zenon_H7e zenon_H54 zenon_H108 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H1c6 zenon_H1c8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H138. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_L1056_); trivial. % 1.50/1.66 apply (zenon_L1252_); trivial. % 1.50/1.66 (* end of lemma zenon_L1266_ *) % 1.50/1.66 assert (zenon_L1267_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.66 apply (zenon_L1064_); trivial. % 1.50/1.66 apply (zenon_L766_); trivial. % 1.50/1.66 (* end of lemma zenon_L1267_ *) % 1.50/1.66 assert (zenon_L1268_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L155_); trivial. % 1.50/1.66 apply (zenon_L1267_); trivial. % 1.50/1.66 (* end of lemma zenon_L1268_ *) % 1.50/1.66 assert (zenon_L1269_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1ca zenon_H102 zenon_H1 zenon_H10d zenon_H231 zenon_H133 zenon_H124 zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_Hd4 zenon_H55 zenon_H7e zenon_H80 zenon_Hac zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H138. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L155_); trivial. % 1.50/1.66 apply (zenon_L831_); trivial. % 1.50/1.66 apply (zenon_L1268_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L155_); trivial. % 1.50/1.66 apply (zenon_L837_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L155_); trivial. % 1.50/1.66 apply (zenon_L835_); trivial. % 1.50/1.66 (* end of lemma zenon_L1269_ *) % 1.50/1.66 assert (zenon_L1270_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H11e zenon_H21d zenon_H1be zenon_H103 zenon_H119 zenon_H133 zenon_H10b zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H8c zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H231 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_L216_); trivial. % 1.50/1.66 apply (zenon_L1263_); trivial. % 1.50/1.66 (* end of lemma zenon_L1270_ *) % 1.50/1.66 assert (zenon_L1271_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_L985_); trivial. % 1.50/1.66 (* end of lemma zenon_L1271_ *) % 1.50/1.66 assert (zenon_L1272_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H54 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H2c1 zenon_H138. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1271_); trivial. % 1.50/1.66 apply (zenon_L1240_); trivial. % 1.50/1.66 apply (zenon_L1261_); trivial. % 1.50/1.66 (* end of lemma zenon_L1272_ *) % 1.50/1.66 assert (zenon_L1273_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1249_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.66 apply (zenon_L200_); trivial. % 1.50/1.66 apply (zenon_L864_); trivial. % 1.50/1.66 (* end of lemma zenon_L1273_ *) % 1.50/1.66 assert (zenon_L1274_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H4d zenon_H50 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1273_); trivial. % 1.50/1.66 apply (zenon_L1234_); trivial. % 1.50/1.66 (* end of lemma zenon_L1274_ *) % 1.50/1.66 assert (zenon_L1275_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H4d zenon_H50 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1271_); trivial. % 1.50/1.66 apply (zenon_L1274_); trivial. % 1.50/1.66 (* end of lemma zenon_L1275_ *) % 1.50/1.66 assert (zenon_L1276_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H1a2 zenon_H7e zenon_H55 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H1c6 zenon_H1c8 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L905_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1273_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.66 apply (zenon_L218_); trivial. % 1.50/1.66 apply (zenon_L900_); trivial. % 1.50/1.66 (* end of lemma zenon_L1276_ *) % 1.50/1.66 assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_He8 zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1249_); trivial. % 1.50/1.66 apply (zenon_L922_); trivial. % 1.50/1.66 (* end of lemma zenon_L1277_ *) % 1.50/1.66 assert (zenon_L1278_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H127 zenon_H125 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1271_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1273_); trivial. % 1.50/1.66 apply (zenon_L1277_); trivial. % 1.50/1.66 (* end of lemma zenon_L1278_ *) % 1.50/1.66 assert (zenon_L1279_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_L493_); trivial. % 1.50/1.66 apply (zenon_L1256_); trivial. % 1.50/1.66 (* end of lemma zenon_L1279_ *) % 1.50/1.66 assert (zenon_L1280_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_L962_); trivial. % 1.50/1.66 (* end of lemma zenon_L1280_ *) % 1.50/1.66 assert (zenon_L1281_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1273_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1249_); trivial. % 1.50/1.66 apply (zenon_L975_); trivial. % 1.50/1.66 (* end of lemma zenon_L1281_ *) % 1.50/1.66 assert (zenon_L1282_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.66 apply (zenon_L531_); trivial. % 1.50/1.66 apply (zenon_L864_); trivial. % 1.50/1.66 (* end of lemma zenon_L1282_ *) % 1.50/1.66 assert (zenon_L1283_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1249_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.66 apply (zenon_L520_); trivial. % 1.50/1.66 apply (zenon_L1239_); trivial. % 1.50/1.66 (* end of lemma zenon_L1283_ *) % 1.50/1.66 assert (zenon_L1284_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1283_); trivial. % 1.50/1.66 apply (zenon_L215_); trivial. % 1.50/1.66 (* end of lemma zenon_L1284_ *) % 1.50/1.66 assert (zenon_L1285_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L943_); trivial. % 1.50/1.66 apply (zenon_L1284_); trivial. % 1.50/1.66 (* end of lemma zenon_L1285_ *) % 1.50/1.66 assert (zenon_L1286_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_L1285_); trivial. % 1.50/1.66 apply (zenon_L1282_); trivial. % 1.50/1.66 (* end of lemma zenon_L1286_ *) % 1.50/1.66 assert (zenon_L1287_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H1ca zenon_H54 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H8c zenon_H1bc zenon_Hea zenon_H2e zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H209 zenon_H207 zenon_H1c4 zenon_H124 zenon_H138 zenon_Hf zenon_H18b. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1280_); trivial. % 1.50/1.66 apply (zenon_L1281_); trivial. % 1.50/1.66 apply (zenon_L1282_); trivial. % 1.50/1.66 apply (zenon_L1286_); trivial. % 1.50/1.66 apply (zenon_L1261_); trivial. % 1.50/1.66 (* end of lemma zenon_L1287_ *) % 1.50/1.66 assert (zenon_L1288_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_L983_); trivial. % 1.50/1.66 (* end of lemma zenon_L1288_ *) % 1.50/1.66 assert (zenon_L1289_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L905_); trivial. % 1.50/1.66 apply (zenon_L1240_); trivial. % 1.50/1.66 (* end of lemma zenon_L1289_ *) % 1.50/1.66 assert (zenon_L1290_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H57 zenon_H59 zenon_H133 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_L1285_); trivial. % 1.50/1.66 apply (zenon_L1289_); trivial. % 1.50/1.66 (* end of lemma zenon_L1290_ *) % 1.50/1.66 assert (zenon_L1291_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H138 zenon_H2c1 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H54 zenon_H124 zenon_H7e zenon_Hd4 zenon_H8c zenon_H133 zenon_H1ca zenon_H18b. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1288_); trivial. % 1.50/1.66 apply (zenon_L1240_); trivial. % 1.50/1.66 apply (zenon_L1290_); trivial. % 1.50/1.66 apply (zenon_L1179_); trivial. % 1.50/1.66 (* end of lemma zenon_L1291_ *) % 1.50/1.66 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp28)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> False). % 1.50/1.66 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_Hb zenon_H43 zenon_H44 zenon_H1bc zenon_He8. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.50/1.66 apply (zenon_L371_); trivial. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.50/1.66 apply (zenon_L198_); trivial. % 1.50/1.66 exact (zenon_He8 zenon_He9). % 1.50/1.66 (* end of lemma zenon_L1292_ *) % 1.50/1.66 assert (zenon_L1293_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.50/1.66 do 0 intro. intros zenon_Hbf zenon_H2e zenon_Hea zenon_He8 zenon_H43 zenon_H44 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hb zenon_Hd zenon_Hf. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.66 apply (zenon_L8_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.50/1.66 apply (zenon_L988_); trivial. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.50/1.66 apply (zenon_L198_); trivial. % 1.50/1.66 exact (zenon_He8 zenon_He9). % 1.50/1.66 (* end of lemma zenon_L1293_ *) % 1.50/1.66 assert (zenon_L1294_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H11d zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_L990_); trivial. % 1.50/1.66 (* end of lemma zenon_L1294_ *) % 1.50/1.66 assert (zenon_L1295_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_L1273_); trivial. % 1.50/1.66 apply (zenon_L1195_); trivial. % 1.50/1.66 (* end of lemma zenon_L1295_ *) % 1.50/1.66 assert (zenon_L1296_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d9 zenon_H165 zenon_H1ca zenon_H133 zenon_H124 zenon_Hd4 zenon_H55 zenon_H7e zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hc2 zenon_H71 zenon_Hf zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_Hb4 zenon_H210 zenon_H20f zenon_H1bc zenon_Hea zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H155 zenon_H54 zenon_H2c1 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H119 zenon_H138 zenon_H18b. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.66 apply (zenon_L416_); trivial. % 1.50/1.66 apply (zenon_L1292_); trivial. % 1.50/1.66 apply (zenon_L1293_); trivial. % 1.50/1.66 apply (zenon_L864_); trivial. % 1.50/1.66 apply (zenon_L1294_); trivial. % 1.50/1.66 apply (zenon_L1295_); trivial. % 1.50/1.66 apply (zenon_L1282_); trivial. % 1.50/1.66 apply (zenon_L1286_); trivial. % 1.50/1.66 apply (zenon_L1179_); trivial. % 1.50/1.66 (* end of lemma zenon_L1296_ *) % 1.50/1.66 assert (zenon_L1297_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L1158_); trivial. % 1.50/1.66 apply (zenon_L1130_); trivial. % 1.50/1.66 (* end of lemma zenon_L1297_ *) % 1.50/1.66 assert (zenon_L1298_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H2c1 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_L493_); trivial. % 1.50/1.66 apply (zenon_L1297_); trivial. % 1.50/1.66 (* end of lemma zenon_L1298_ *) % 1.50/1.66 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H54 zenon_H165 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.66 apply (zenon_L493_); trivial. % 1.50/1.66 apply (zenon_L1222_); trivial. % 1.50/1.66 (* end of lemma zenon_L1299_ *) % 1.50/1.66 assert (zenon_L1300_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L639_); trivial. % 1.50/1.66 apply (zenon_L808_); trivial. % 1.50/1.66 (* end of lemma zenon_L1300_ *) % 1.50/1.66 assert (zenon_L1301_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H178 zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e zenon_H2e zenon_H127 zenon_H125 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.66 apply (zenon_L639_); trivial. % 1.50/1.66 apply (zenon_L810_); trivial. % 1.50/1.66 (* end of lemma zenon_L1301_ *) % 1.50/1.66 assert (zenon_L1302_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.50/1.66 do 0 intro. intros zenon_H7e zenon_H90 zenon_H8f zenon_H8e zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.50/1.66 apply (zenon_L48_); trivial. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.50/1.66 apply (zenon_L100_); trivial. % 1.50/1.66 exact (zenon_H55 zenon_H56). % 1.50/1.66 (* end of lemma zenon_L1302_ *) % 1.50/1.66 assert (zenon_L1303_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.50/1.66 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_H55 zenon_H12 zenon_H43 zenon_H44 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.50/1.66 apply (zenon_L371_); trivial. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.50/1.66 apply (zenon_L1302_); trivial. % 1.50/1.66 exact (zenon_He8 zenon_He9). % 1.50/1.66 (* end of lemma zenon_L1303_ *) % 1.50/1.66 assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.50/1.66 do 0 intro. intros zenon_H29 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H43 zenon_H44 zenon_H8e zenon_H8f zenon_H90 zenon_H7e zenon_He8. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.50/1.66 apply (zenon_L988_); trivial. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.50/1.66 apply (zenon_L1302_); trivial. % 1.50/1.66 exact (zenon_He8 zenon_He9). % 1.50/1.66 (* end of lemma zenon_L1304_ *) % 1.50/1.66 assert (zenon_L1305_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_H55 zenon_H90 zenon_H8f zenon_H8e zenon_He8 zenon_Hea. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.66 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.50/1.66 apply (zenon_L1303_); trivial. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.50/1.66 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.66 apply (zenon_L416_); trivial. % 1.50/1.66 apply (zenon_L1304_); trivial. % 1.50/1.66 (* end of lemma zenon_L1305_ *) % 1.50/1.66 assert (zenon_L1306_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H101 zenon_H54 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H7e zenon_H55 zenon_He8 zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.66 apply (zenon_L1100_); trivial. % 1.50/1.66 apply (zenon_L1305_); trivial. % 1.50/1.66 (* end of lemma zenon_L1306_ *) % 1.50/1.66 assert (zenon_L1307_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H124 zenon_Hac zenon_Haa zenon_Hd4 zenon_Hd2 zenon_H245 zenon_H244 zenon_H246 zenon_H133 zenon_H88 zenon_H1bc zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1be zenon_H21d zenon_Hef zenon_H54 zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H161 zenon_H163 zenon_H2e zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H108. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.66 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.66 apply (zenon_L453_); trivial. % 1.50/1.66 apply (zenon_L1306_); trivial. % 1.50/1.66 apply (zenon_L1051_); trivial. % 1.50/1.66 (* end of lemma zenon_L1307_ *) % 1.50/1.66 assert (zenon_L1308_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.50/1.66 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40 zenon_H1c8 zenon_H1c6 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_L770_); trivial. % 1.50/1.67 apply (zenon_L1195_); trivial. % 1.50/1.67 (* end of lemma zenon_L1308_ *) % 1.50/1.67 assert (zenon_L1309_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H124 zenon_H54 zenon_Hd4 zenon_Hd2 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H2c1 zenon_H40 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_L155_); trivial. % 1.50/1.67 apply (zenon_L1195_); trivial. % 1.50/1.67 (* end of lemma zenon_L1309_ *) % 1.50/1.67 assert (zenon_L1310_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H119 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_Hf zenon_H3c zenon_H40 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H7e zenon_H246 zenon_H244 zenon_H245 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Haa zenon_Hac zenon_H124. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L1059_); trivial. % 1.50/1.67 apply (zenon_L1309_); trivial. % 1.50/1.67 (* end of lemma zenon_L1310_ *) % 1.50/1.67 assert (zenon_L1311_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H231 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L493_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.50/1.67 apply (zenon_L494_); trivial. % 1.50/1.67 apply (zenon_L981_); trivial. % 1.50/1.67 (* end of lemma zenon_L1311_ *) % 1.50/1.67 assert (zenon_L1312_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H124 zenon_H80 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_L155_); trivial. % 1.50/1.67 apply (zenon_L1231_); trivial. % 1.50/1.67 (* end of lemma zenon_L1312_ *) % 1.50/1.67 assert (zenon_L1313_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H2c1 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H80 zenon_H124. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L1312_); trivial. % 1.50/1.67 apply (zenon_L1309_); trivial. % 1.50/1.67 (* end of lemma zenon_L1313_ *) % 1.50/1.67 assert (zenon_L1314_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp21)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H109 zenon_H4d zenon_H10d zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_L95_); trivial. % 1.50/1.67 (* end of lemma zenon_L1314_ *) % 1.50/1.67 assert (zenon_L1315_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_H142 zenon_He4 zenon_Hb2 zenon_H10d zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.67 apply (zenon_L1314_); trivial. % 1.50/1.67 apply (zenon_L255_); trivial. % 1.50/1.67 (* end of lemma zenon_L1315_ *) % 1.50/1.67 assert (zenon_L1316_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H97 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd. % 1.50/1.67 generalize (zenon_H97 (a794)). zenon_intro zenon_H2ce. % 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cf ]. % 1.50/1.67 exact (zenon_H11 zenon_H12). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d0 ]. % 1.50/1.67 exact (zenon_H2cb zenon_H2d1). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ]. % 1.50/1.67 exact (zenon_H2cc zenon_H2d3). % 1.50/1.67 exact (zenon_H2d2 zenon_H2cd). % 1.50/1.67 (* end of lemma zenon_L1316_ *) % 1.50/1.67 assert (zenon_L1317_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.50/1.67 apply (zenon_L84_); trivial. % 1.50/1.67 apply (zenon_L86_); trivial. % 1.50/1.67 (* end of lemma zenon_L1317_ *) % 1.50/1.67 assert (zenon_L1318_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1c4 zenon_He8 zenon_H5c zenon_H5e zenon_H5d zenon_Hea zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.67 apply (zenon_L1317_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.67 apply (zenon_L74_); trivial. % 1.50/1.67 exact (zenon_H5 zenon_H6). % 1.50/1.67 (* end of lemma zenon_L1318_ *) % 1.50/1.67 assert (zenon_L1319_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp9)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1b9 zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb2. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ]. % 1.50/1.67 apply (zenon_L108_); trivial. % 1.50/1.67 exact (zenon_Hb2 zenon_Hb3). % 1.50/1.67 (* end of lemma zenon_L1319_ *) % 1.50/1.67 assert (zenon_L1320_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H127 zenon_H125 zenon_H109 zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L476_); trivial. % 1.50/1.67 apply (zenon_L159_); trivial. % 1.50/1.67 (* end of lemma zenon_L1320_ *) % 1.50/1.67 assert (zenon_L1321_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1f2 zenon_H11e. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.50/1.67 apply (zenon_L1320_); trivial. % 1.50/1.67 apply (zenon_L255_); trivial. % 1.50/1.67 apply (zenon_L215_); trivial. % 1.50/1.67 (* end of lemma zenon_L1321_ *) % 1.50/1.67 assert (zenon_L1322_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_H102 zenon_H1 zenon_H4d zenon_H10d zenon_Hb2 zenon_He4 zenon_H142 zenon_H1f2 zenon_H11e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_L1315_); trivial. % 1.50/1.67 apply (zenon_L215_); trivial. % 1.50/1.67 (* end of lemma zenon_L1322_ *) % 1.50/1.67 assert (zenon_L1323_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H4d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L294_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_L1315_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.67 apply (zenon_L1318_); trivial. % 1.50/1.67 apply (zenon_L69_); trivial. % 1.50/1.67 apply (zenon_L1319_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L1321_); trivial. % 1.50/1.67 apply (zenon_L1322_); trivial. % 1.50/1.67 apply (zenon_L1319_); trivial. % 1.50/1.67 (* end of lemma zenon_L1323_ *) % 1.50/1.67 assert (zenon_L1324_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.50/1.67 apply (zenon_L84_); trivial. % 1.50/1.67 apply (zenon_L72_); trivial. % 1.50/1.67 (* end of lemma zenon_L1324_ *) % 1.50/1.67 assert (zenon_L1325_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.67 apply (zenon_L1324_); trivial. % 1.50/1.67 exact (zenon_H1be zenon_H1bf). % 1.50/1.67 (* end of lemma zenon_L1325_ *) % 1.50/1.67 assert (zenon_L1326_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H102 zenon_Hd8 zenon_H5c zenon_H5e zenon_H5d zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.50/1.67 apply (zenon_L1324_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.50/1.67 apply (zenon_L87_); trivial. % 1.50/1.67 exact (zenon_H1 zenon_H2). % 1.50/1.67 (* end of lemma zenon_L1326_ *) % 1.50/1.67 assert (zenon_L1327_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H1be zenon_H21d zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H102 zenon_H5. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.67 apply (zenon_L1325_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.67 apply (zenon_L1326_); trivial. % 1.50/1.67 exact (zenon_H5 zenon_H6). % 1.50/1.67 (* end of lemma zenon_L1327_ *) % 1.50/1.67 assert (zenon_L1328_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_L1327_); trivial. % 1.50/1.67 (* end of lemma zenon_L1328_ *) % 1.50/1.67 assert (zenon_L1329_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40 zenon_H80. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L132_); trivial. % 1.50/1.67 apply (zenon_L1328_); trivial. % 1.50/1.67 (* end of lemma zenon_L1329_ *) % 1.50/1.67 assert (zenon_L1330_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a794)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_Hf0 zenon_H2cd. % 1.50/1.67 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4. % 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ]. % 1.50/1.67 exact (zenon_H11 zenon_H12). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ]. % 1.50/1.67 exact (zenon_H2cb zenon_H2d1). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ]. % 1.50/1.67 generalize (zenon_Hf0 (a794)). zenon_intro zenon_H2d8. % 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d9 ]. % 1.50/1.67 exact (zenon_H11 zenon_H12). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2da ]. % 1.50/1.67 exact (zenon_H2cb zenon_H2d1). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d2 ]. % 1.50/1.67 exact (zenon_H2d7 zenon_H2db). % 1.50/1.67 exact (zenon_H2d2 zenon_H2cd). % 1.50/1.67 exact (zenon_H2d2 zenon_H2cd). % 1.50/1.67 (* end of lemma zenon_L1330_ *) % 1.50/1.67 assert (zenon_L1331_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1330_); trivial. % 1.50/1.67 apply (zenon_L148_); trivial. % 1.50/1.67 (* end of lemma zenon_L1331_ *) % 1.50/1.67 assert (zenon_L1332_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.67 apply (zenon_L26_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.50/1.67 apply (zenon_L1331_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.50/1.67 apply (zenon_L15_); trivial. % 1.50/1.67 exact (zenon_H125 zenon_H126). % 1.50/1.67 (* end of lemma zenon_L1332_ *) % 1.50/1.67 assert (zenon_L1333_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.67 apply (zenon_L223_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.67 apply (zenon_L1326_); trivial. % 1.50/1.67 exact (zenon_H5 zenon_H6). % 1.50/1.67 (* end of lemma zenon_L1333_ *) % 1.50/1.67 assert (zenon_L1334_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H138 zenon_H1c4 zenon_H5 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H125 zenon_H127 zenon_H40 zenon_H80. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L132_); trivial. % 1.50/1.67 apply (zenon_L1333_); trivial. % 1.50/1.67 (* end of lemma zenon_L1334_ *) % 1.50/1.67 assert (zenon_L1335_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_H2dc zenon_H2cc zenon_H2cd. % 1.50/1.67 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4. % 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ]. % 1.50/1.67 exact (zenon_H11 zenon_H12). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ]. % 1.50/1.67 exact (zenon_H2cb zenon_H2d1). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ]. % 1.50/1.67 generalize (zenon_H2dc (a794)). zenon_intro zenon_H2dd. % 1.50/1.67 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H11 | zenon_intro zenon_H2de ]. % 1.50/1.67 exact (zenon_H11 zenon_H12). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2df ]. % 1.50/1.67 exact (zenon_H2cb zenon_H2d1). % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d3 ]. % 1.50/1.67 exact (zenon_H2d7 zenon_H2db). % 1.50/1.67 exact (zenon_H2cc zenon_H2d3). % 1.50/1.67 exact (zenon_H2d2 zenon_H2cd). % 1.50/1.67 (* end of lemma zenon_L1335_ *) % 1.50/1.67 assert (zenon_L1336_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1335_); trivial. % 1.50/1.67 apply (zenon_L148_); trivial. % 1.50/1.67 (* end of lemma zenon_L1336_ *) % 1.50/1.67 assert (zenon_L1337_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H16e zenon_He4. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.50/1.67 apply (zenon_L1336_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L161_); trivial. % 1.50/1.67 apply (zenon_L148_); trivial. % 1.50/1.67 (* end of lemma zenon_L1337_ *) % 1.50/1.67 assert (zenon_L1338_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca zenon_H1d9 zenon_H16e zenon_Haa zenon_H59 zenon_H155 zenon_H21d zenon_H20b zenon_H1ac. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.67 apply (zenon_L1323_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L1329_); trivial. % 1.50/1.67 apply (zenon_L1332_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L1334_); trivial. % 1.50/1.67 apply (zenon_L1332_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.67 apply (zenon_L1323_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L1329_); trivial. % 1.50/1.67 apply (zenon_L1337_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L1334_); trivial. % 1.50/1.67 apply (zenon_L1337_); trivial. % 1.50/1.67 (* end of lemma zenon_L1338_ *) % 1.50/1.67 assert (zenon_L1339_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H1be. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.50/1.67 apply (zenon_L174_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.50/1.67 apply (zenon_L11_); trivial. % 1.50/1.67 exact (zenon_H1be zenon_H1bf). % 1.50/1.67 (* end of lemma zenon_L1339_ *) % 1.50/1.67 assert (zenon_L1340_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H90 zenon_H8f zenon_H8e zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L48_); trivial. % 1.50/1.67 apply (zenon_L1339_); trivial. % 1.50/1.67 (* end of lemma zenon_L1340_ *) % 1.50/1.67 assert (zenon_L1341_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H90 zenon_H8f zenon_H8e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.67 apply (zenon_L8_); trivial. % 1.50/1.67 apply (zenon_L1340_); trivial. % 1.50/1.67 (* end of lemma zenon_L1341_ *) % 1.50/1.67 assert (zenon_L1342_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H8e zenon_H8f zenon_H90 zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2e. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.67 apply (zenon_L1341_); trivial. % 1.50/1.67 apply (zenon_L17_); trivial. % 1.50/1.67 (* end of lemma zenon_L1342_ *) % 1.50/1.67 assert (zenon_L1343_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H90 zenon_H8f zenon_H8e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.67 apply (zenon_L1342_); trivial. % 1.50/1.67 apply (zenon_L22_); trivial. % 1.50/1.67 (* end of lemma zenon_L1343_ *) % 1.50/1.67 assert (zenon_L1344_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H101 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L48_); trivial. % 1.50/1.67 apply (zenon_L361_); trivial. % 1.50/1.67 (* end of lemma zenon_L1344_ *) % 1.50/1.67 assert (zenon_L1345_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H124 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ae zenon_H1ad zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H108. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.67 apply (zenon_L247_); trivial. % 1.50/1.67 apply (zenon_L1344_); trivial. % 1.50/1.67 apply (zenon_L363_); trivial. % 1.50/1.67 (* end of lemma zenon_L1345_ *) % 1.50/1.67 assert (zenon_L1346_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10b zenon_H10d zenon_H8c zenon_He6 zenon_He4 zenon_Hea zenon_H103 zenon_H102 zenon_Hef zenon_H80 zenon_H7e zenon_H71 zenon_H59 zenon_H57 zenon_H55 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Haa zenon_H108 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H133 zenon_H1ca. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.67 apply (zenon_L178_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L1345_); trivial. % 1.50/1.67 apply (zenon_L114_); trivial. % 1.50/1.67 apply (zenon_L153_); trivial. % 1.50/1.67 (* end of lemma zenon_L1346_ *) % 1.50/1.67 assert (zenon_L1347_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_H2cb zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1330_); trivial. % 1.50/1.67 apply (zenon_L192_); trivial. % 1.50/1.67 (* end of lemma zenon_L1347_ *) % 1.50/1.67 assert (zenon_L1348_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H3b zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H125. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.50/1.67 apply (zenon_L1347_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.50/1.67 apply (zenon_L15_); trivial. % 1.50/1.67 exact (zenon_H125 zenon_H126). % 1.50/1.67 (* end of lemma zenon_L1348_ *) % 1.50/1.67 assert (zenon_L1349_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.67 apply (zenon_L26_); trivial. % 1.50/1.67 apply (zenon_L1348_); trivial. % 1.50/1.67 apply (zenon_L1332_); trivial. % 1.50/1.67 (* end of lemma zenon_L1349_ *) % 1.50/1.67 assert (zenon_L1350_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1330_); trivial. % 1.50/1.67 apply (zenon_L175_); trivial. % 1.50/1.67 (* end of lemma zenon_L1350_ *) % 1.50/1.67 assert (zenon_L1351_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp5)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1c4 zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_He4 zenon_H12 zenon_H158 zenon_H159 zenon_H15a zenon_H16e zenon_H5. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.67 apply (zenon_L1350_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.67 apply (zenon_L460_); trivial. % 1.50/1.67 exact (zenon_H5 zenon_H6). % 1.50/1.67 (* end of lemma zenon_L1351_ *) % 1.50/1.67 assert (zenon_L1352_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1330_); trivial. % 1.50/1.67 apply (zenon_L361_); trivial. % 1.50/1.67 (* end of lemma zenon_L1352_ *) % 1.50/1.67 assert (zenon_L1353_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.50/1.67 apply (zenon_L222_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.50/1.67 apply (zenon_L141_); trivial. % 1.50/1.67 apply (zenon_L108_); trivial. % 1.50/1.67 (* end of lemma zenon_L1353_ *) % 1.50/1.67 assert (zenon_L1354_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H18c zenon_H1ca zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.67 apply (zenon_L1351_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.67 apply (zenon_L1352_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.67 apply (zenon_L1353_); trivial. % 1.50/1.67 exact (zenon_H5 zenon_H6). % 1.50/1.67 (* end of lemma zenon_L1354_ *) % 1.50/1.67 assert (zenon_L1355_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4 zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.67 apply (zenon_L224_); trivial. % 1.50/1.67 apply (zenon_L1354_); trivial. % 1.50/1.67 (* end of lemma zenon_L1355_ *) % 1.50/1.67 assert (zenon_L1356_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1ca zenon_H231 zenon_Hd4 zenon_H5 zenon_H1c4 zenon_H1 zenon_H1d4 zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_He4 zenon_H16e zenon_H1d9. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.67 apply (zenon_L1349_); trivial. % 1.50/1.67 apply (zenon_L1355_); trivial. % 1.50/1.67 (* end of lemma zenon_L1356_ *) % 1.50/1.67 assert (zenon_L1357_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H16e zenon_H129 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H12 zenon_He4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H157 | zenon_intro zenon_H170 ]. % 1.50/1.67 apply (zenon_L403_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He5 ]. % 1.50/1.67 apply (zenon_L243_); trivial. % 1.50/1.67 exact (zenon_He4 zenon_He5). % 1.50/1.67 (* end of lemma zenon_L1357_ *) % 1.50/1.67 assert (zenon_L1358_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp9)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_He4 zenon_H12 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H16e zenon_Hb2. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ]. % 1.50/1.67 apply (zenon_L1357_); trivial. % 1.50/1.67 exact (zenon_Hb2 zenon_Hb3). % 1.50/1.67 (* end of lemma zenon_L1358_ *) % 1.50/1.67 assert (zenon_L1359_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H1be. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.67 apply (zenon_L74_); trivial. % 1.50/1.67 exact (zenon_H1be zenon_H1bf). % 1.50/1.67 (* end of lemma zenon_L1359_ *) % 1.50/1.67 assert (zenon_L1360_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.67 apply (zenon_L1359_); trivial. % 1.50/1.67 apply (zenon_L22_); trivial. % 1.50/1.67 (* end of lemma zenon_L1360_ *) % 1.50/1.67 assert (zenon_L1361_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L1360_); trivial. % 1.50/1.67 apply (zenon_L1327_); trivial. % 1.50/1.67 (* end of lemma zenon_L1361_ *) % 1.50/1.67 assert (zenon_L1362_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.50/1.67 apply (zenon_L174_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.50/1.67 apply (zenon_L709_); trivial. % 1.50/1.67 apply (zenon_L72_); trivial. % 1.50/1.67 (* end of lemma zenon_L1362_ *) % 1.50/1.67 assert (zenon_L1363_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.67 apply (zenon_L1362_); trivial. % 1.50/1.67 exact (zenon_H1be zenon_H1bf). % 1.50/1.67 (* end of lemma zenon_L1363_ *) % 1.50/1.67 assert (zenon_L1364_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Haa zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.67 apply (zenon_L1330_); trivial. % 1.50/1.67 apply (zenon_L1363_); trivial. % 1.50/1.67 (* end of lemma zenon_L1364_ *) % 1.50/1.67 assert (zenon_L1365_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp4)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H102 zenon_H1be zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_Haa zenon_H1. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.50/1.67 apply (zenon_L1364_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.50/1.67 apply (zenon_L87_); trivial. % 1.50/1.67 exact (zenon_H1 zenon_H2). % 1.50/1.67 (* end of lemma zenon_L1365_ *) % 1.50/1.67 assert (zenon_L1366_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H16e zenon_He4 zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hf zenon_H3c zenon_H40 zenon_Haa zenon_H119 zenon_H1ae zenon_H1ad zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H138. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L407_); trivial. % 1.50/1.67 apply (zenon_L1365_); trivial. % 1.50/1.67 apply (zenon_L411_); trivial. % 1.50/1.67 (* end of lemma zenon_L1366_ *) % 1.50/1.67 assert (zenon_L1367_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_Haa zenon_H119 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He6 zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.50/1.67 apply (zenon_L1358_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L407_); trivial. % 1.50/1.67 apply (zenon_L1361_); trivial. % 1.50/1.67 apply (zenon_L411_); trivial. % 1.50/1.67 apply (zenon_L1366_); trivial. % 1.50/1.67 (* end of lemma zenon_L1367_ *) % 1.50/1.67 assert (zenon_L1368_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.50/1.67 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.50/1.67 apply (zenon_L544_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.50/1.67 apply (zenon_L67_); trivial. % 1.50/1.67 exact (zenon_H55 zenon_H56). % 1.50/1.67 (* end of lemma zenon_L1368_ *) % 1.50/1.67 assert (zenon_L1369_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp9)) -> False). % 1.50/1.67 do 0 intro. intros zenon_Hbf zenon_H202 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_Hb2. % 1.50/1.67 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.50/1.67 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.50/1.67 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H97 | zenon_intro zenon_H203 ]. % 1.50/1.67 apply (zenon_L1316_); trivial. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H129 | zenon_intro zenon_Hb3 ]. % 1.50/1.67 apply (zenon_L1368_); trivial. % 1.50/1.67 exact (zenon_Hb2 zenon_Hb3). % 1.50/1.67 (* end of lemma zenon_L1369_ *) % 1.50/1.67 assert (zenon_L1370_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.67 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.50/1.67 apply (zenon_L58_); trivial. % 1.50/1.67 apply (zenon_L1369_); trivial. % 1.50/1.67 (* end of lemma zenon_L1370_ *) % 1.50/1.67 assert (zenon_L1371_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.67 apply (zenon_L63_); trivial. % 1.50/1.67 apply (zenon_L1370_); trivial. % 1.50/1.67 (* end of lemma zenon_L1371_ *) % 1.50/1.67 assert (zenon_L1372_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.67 apply (zenon_L122_); trivial. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.67 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.67 apply (zenon_L1359_); trivial. % 1.50/1.67 apply (zenon_L1370_); trivial. % 1.50/1.67 (* end of lemma zenon_L1372_ *) % 1.50/1.67 assert (zenon_L1373_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.67 do 0 intro. intros zenon_H138 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80. % 1.50/1.67 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.67 apply (zenon_L1371_); trivial. % 1.50/1.67 apply (zenon_L1372_); trivial. % 1.50/1.67 (* end of lemma zenon_L1373_ *) % 1.50/1.67 assert (zenon_L1374_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1c4 zenon_H153 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.68 apply (zenon_L223_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.68 apply (zenon_L74_); trivial. % 1.50/1.68 exact (zenon_H5 zenon_H6). % 1.50/1.68 (* end of lemma zenon_L1374_ *) % 1.50/1.68 assert (zenon_L1375_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H138 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1cd zenon_H1cc zenon_H1cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_L1371_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.68 apply (zenon_L122_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.68 apply (zenon_L1374_); trivial. % 1.50/1.68 apply (zenon_L1370_); trivial. % 1.50/1.68 (* end of lemma zenon_L1375_ *) % 1.50/1.68 assert (zenon_L1376_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.50/1.68 apply (zenon_L28_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.50/1.68 apply (zenon_L59_); trivial. % 1.50/1.68 apply (zenon_L529_); trivial. % 1.50/1.68 (* end of lemma zenon_L1376_ *) % 1.50/1.68 assert (zenon_L1377_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(hskp3)) -> False). % 1.50/1.68 do 0 intro. intros zenon_Hbf zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_He4. % 1.50/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.50/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.50/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L1376_); trivial. % 1.50/1.68 apply (zenon_L148_); trivial. % 1.50/1.68 (* end of lemma zenon_L1377_ *) % 1.50/1.68 assert (zenon_L1378_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H18c zenon_H80 zenon_Hc2 zenon_Haa zenon_H16e zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.68 apply (zenon_L122_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.50/1.68 apply (zenon_L58_); trivial. % 1.50/1.68 apply (zenon_L1377_); trivial. % 1.50/1.68 (* end of lemma zenon_L1378_ *) % 1.50/1.68 assert (zenon_L1379_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_Hc2 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H103 zenon_He8 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.50/1.68 apply (zenon_L122_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.68 apply (zenon_L1318_); trivial. % 1.50/1.68 apply (zenon_L1370_); trivial. % 1.50/1.68 (* end of lemma zenon_L1379_ *) % 1.50/1.68 assert (zenon_L1380_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H4d zenon_H1 zenon_H102 zenon_Hd4 zenon_H124 zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c4 zenon_H5 zenon_He6 zenon_Hea zenon_H103 zenon_H138. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_L1371_); trivial. % 1.50/1.68 apply (zenon_L1379_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_L1371_); trivial. % 1.50/1.68 apply (zenon_L1322_); trivial. % 1.50/1.68 apply (zenon_L1319_); trivial. % 1.50/1.68 (* end of lemma zenon_L1380_ *) % 1.50/1.68 assert (zenon_L1381_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1d9 zenon_H2e0 zenon_H16e zenon_Haa zenon_H155 zenon_H21d zenon_H138 zenon_H103 zenon_Hea zenon_He6 zenon_H5 zenon_H1c4 zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H54 zenon_H80 zenon_H124 zenon_Hd4 zenon_H102 zenon_H1 zenon_H10d zenon_H1f2 zenon_H11e zenon_H1ca zenon_H18b. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.68 apply (zenon_L1380_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.68 apply (zenon_L1373_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.50/1.68 apply (zenon_L1375_); trivial. % 1.50/1.68 apply (zenon_L1337_); trivial. % 1.50/1.68 (* end of lemma zenon_L1381_ *) % 1.50/1.68 assert (zenon_L1382_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp6)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H3b zenon_H209 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H207. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H20a ]. % 1.50/1.68 apply (zenon_L1347_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H204 | zenon_intro zenon_H208 ]. % 1.50/1.68 apply (zenon_L279_); trivial. % 1.50/1.68 exact (zenon_H207 zenon_H208). % 1.50/1.68 (* end of lemma zenon_L1382_ *) % 1.50/1.68 assert (zenon_L1383_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H40 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.68 apply (zenon_L26_); trivial. % 1.50/1.68 apply (zenon_L1382_); trivial. % 1.50/1.68 (* end of lemma zenon_L1383_ *) % 1.50/1.68 assert (zenon_L1384_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H101 zenon_H54 zenon_H8a zenon_H8c zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.68 apply (zenon_L1342_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.68 apply (zenon_L46_); trivial. % 1.50/1.68 apply (zenon_L1340_); trivial. % 1.50/1.68 (* end of lemma zenon_L1384_ *) % 1.50/1.68 assert (zenon_L1385_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c0_1 (a806)) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp5)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1c2 zenon_H1dd zenon_H1f4 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L554_); trivial. % 1.50/1.68 apply (zenon_L191_); trivial. % 1.50/1.68 apply (zenon_L72_); trivial. % 1.50/1.68 (* end of lemma zenon_L1385_ *) % 1.50/1.68 assert (zenon_L1386_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> (c0_1 (a806)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H23b zenon_H1f4 zenon_H1dd zenon_H1c2 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H103 zenon_H1be. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.68 apply (zenon_L1385_); trivial. % 1.50/1.68 exact (zenon_H1be zenon_H1bf). % 1.50/1.68 (* end of lemma zenon_L1386_ *) % 1.50/1.68 assert (zenon_L1387_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H135 zenon_H40 zenon_H21d zenon_Haa zenon_H1be zenon_H1c0 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.68 apply (zenon_L26_); trivial. % 1.50/1.68 apply (zenon_L1386_); trivial. % 1.50/1.68 (* end of lemma zenon_L1387_ *) % 1.50/1.68 assert (zenon_L1388_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H18c zenon_H138 zenon_H21d zenon_H23b zenon_H1dd zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H103 zenon_H55 zenon_H57 zenon_H59 zenon_H108 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.50/1.68 apply (zenon_L247_); trivial. % 1.50/1.68 apply (zenon_L1384_); trivial. % 1.50/1.68 apply (zenon_L149_); trivial. % 1.50/1.68 apply (zenon_L1387_); trivial. % 1.50/1.68 (* end of lemma zenon_L1388_ *) % 1.50/1.68 assert (zenon_L1389_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.68 apply (zenon_L161_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.68 apply (zenon_L1335_); trivial. % 1.50/1.68 apply (zenon_L229_); trivial. % 1.50/1.68 (* end of lemma zenon_L1389_ *) % 1.50/1.68 assert (zenon_L1390_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H1be. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.50/1.68 apply (zenon_L174_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.50/1.68 apply (zenon_L529_); trivial. % 1.50/1.68 exact (zenon_H1be zenon_H1bf). % 1.50/1.68 (* end of lemma zenon_L1390_ *) % 1.50/1.68 assert (zenon_L1391_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_Ha0 zenon_H1c0 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.68 apply (zenon_L161_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.68 apply (zenon_L1390_); trivial. % 1.50/1.68 apply (zenon_L229_); trivial. % 1.50/1.68 (* end of lemma zenon_L1391_ *) % 1.50/1.68 assert (zenon_L1392_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.50/1.68 apply (zenon_L222_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.50/1.68 apply (zenon_L174_); trivial. % 1.50/1.68 apply (zenon_L544_); trivial. % 1.50/1.68 (* end of lemma zenon_L1392_ *) % 1.50/1.68 assert (zenon_L1393_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H231 zenon_H1f4 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f6 zenon_H1f5 zenon_H1c0 zenon_H2e0. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.50/1.68 apply (zenon_L1389_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L161_); trivial. % 1.50/1.68 apply (zenon_L1391_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.50/1.68 apply (zenon_L1389_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L161_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.50/1.68 apply (zenon_L161_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.50/1.68 apply (zenon_L1392_); trivial. % 1.50/1.68 apply (zenon_L229_); trivial. % 1.50/1.68 (* end of lemma zenon_L1393_ *) % 1.50/1.68 assert (zenon_L1394_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1c0 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_H1be. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1c1 ]. % 1.50/1.68 apply (zenon_L243_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1d | zenon_intro zenon_H1bf ]. % 1.50/1.68 apply (zenon_L529_); trivial. % 1.50/1.68 exact (zenon_H1be zenon_H1bf). % 1.50/1.68 (* end of lemma zenon_L1394_ *) % 1.50/1.68 assert (zenon_L1395_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f6 zenon_H1f5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L1394_); trivial. % 1.50/1.68 apply (zenon_L1339_); trivial. % 1.50/1.68 (* end of lemma zenon_L1395_ *) % 1.50/1.68 assert (zenon_L1396_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f6 zenon_H1f5 zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.50/1.68 apply (zenon_L8_); trivial. % 1.50/1.68 apply (zenon_L1395_); trivial. % 1.50/1.68 (* end of lemma zenon_L1396_ *) % 1.50/1.68 assert (zenon_L1397_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f6 zenon_H1f5 zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.50/1.68 apply (zenon_L1396_); trivial. % 1.50/1.68 apply (zenon_L17_); trivial. % 1.50/1.68 apply (zenon_L406_); trivial. % 1.50/1.68 (* end of lemma zenon_L1397_ *) % 1.50/1.68 assert (zenon_L1398_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.50/1.68 apply (zenon_L1394_); trivial. % 1.50/1.68 apply (zenon_L1363_); trivial. % 1.50/1.68 (* end of lemma zenon_L1398_ *) % 1.50/1.68 assert (zenon_L1399_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.50/1.68 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H119 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He6 zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.50/1.68 apply (zenon_L1358_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_L1397_); trivial. % 1.50/1.68 apply (zenon_L1361_); trivial. % 1.50/1.68 apply (zenon_L411_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.50/1.68 apply (zenon_L407_); trivial. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.50/1.68 apply (zenon_L1398_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.50/1.68 apply (zenon_L87_); trivial. % 1.50/1.68 exact (zenon_H1 zenon_H2). % 1.50/1.68 apply (zenon_L411_); trivial. % 1.50/1.68 (* end of lemma zenon_L1399_ *) % 1.50/1.68 assert (zenon_L1400_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H153 zenon_H12 zenon_H147 zenon_Hf0 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H1be. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.50/1.68 apply (zenon_L1316_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.50/1.68 apply (zenon_L331_); trivial. % 1.50/1.68 exact (zenon_H1be zenon_H1bf). % 1.50/1.68 (* end of lemma zenon_L1400_ *) % 1.50/1.68 assert (zenon_L1401_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H42 zenon_H43 zenon_H44. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.50/1.68 apply (zenon_L136_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.50/1.68 apply (zenon_L298_); trivial. % 1.50/1.68 apply (zenon_L19_); trivial. % 1.50/1.68 (* end of lemma zenon_L1401_ *) % 1.50/1.68 assert (zenon_L1402_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He4 zenon_H16e zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H5. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.50/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.68 apply (zenon_L1331_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.68 apply (zenon_L1401_); trivial. % 1.50/1.68 exact (zenon_H5 zenon_H6). % 1.50/1.68 (* end of lemma zenon_L1402_ *) % 1.50/1.68 assert (zenon_L1403_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> False). % 1.50/1.68 do 0 intro. intros zenon_H1c4 zenon_H159 zenon_H15a zenon_H158 zenon_H16e zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_He4 zenon_H39 zenon_H12 zenon_Hd7 zenon_Hd9 zenon_He6 zenon_H5. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.50/1.68 apply (zenon_L1331_); trivial. % 1.50/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.50/1.68 apply (zenon_L74_); trivial. % 1.50/1.68 exact (zenon_H5 zenon_H6). % 1.50/1.68 (* end of lemma zenon_L1403_ *) % 1.50/1.68 assert (zenon_L1404_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H18c zenon_H138 zenon_He6 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_He4 zenon_H16e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H54. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.68 apply (zenon_L27_); trivial. % 1.57/1.68 apply (zenon_L1402_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.68 apply (zenon_L1403_); trivial. % 1.57/1.68 apply (zenon_L1402_); trivial. % 1.57/1.68 (* end of lemma zenon_L1404_ *) % 1.57/1.68 assert (zenon_L1405_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1d9 zenon_H138 zenon_He6 zenon_H3c zenon_Haa zenon_He4 zenon_H16e zenon_H165 zenon_H5 zenon_H1c4 zenon_H54 zenon_H59 zenon_H57 zenon_H55 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.68 apply (zenon_L26_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.68 apply (zenon_L1400_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.68 apply (zenon_L15_); trivial. % 1.57/1.68 exact (zenon_H125 zenon_H126). % 1.57/1.68 apply (zenon_L1404_); trivial. % 1.57/1.68 (* end of lemma zenon_L1405_ *) % 1.57/1.68 assert (zenon_L1406_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp7)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp5)) -> False). % 1.57/1.68 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H5e zenon_H5d zenon_H5c zenon_H125 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H127 zenon_H5. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.68 apply (zenon_L129_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.68 apply (zenon_L332_); trivial. % 1.57/1.68 exact (zenon_H5 zenon_H6). % 1.57/1.68 (* end of lemma zenon_L1406_ *) % 1.57/1.68 assert (zenon_L1407_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H80 zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hb4 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.68 apply (zenon_L122_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.68 apply (zenon_L62_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.68 apply (zenon_L58_); trivial. % 1.57/1.68 apply (zenon_L1406_); trivial. % 1.57/1.68 (* end of lemma zenon_L1407_ *) % 1.57/1.68 assert (zenon_L1408_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H138 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_H102 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H210 zenon_H20f zenon_H5 zenon_H1c4 zenon_H40 zenon_H80. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_L1407_); trivial. % 1.57/1.68 apply (zenon_L1333_); trivial. % 1.57/1.68 (* end of lemma zenon_L1408_ *) % 1.57/1.68 assert (zenon_L1409_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1bc zenon_H50 zenon_H138 zenon_H103 zenon_Hea zenon_H2cd zenon_H2cc zenon_H2cb zenon_He6 zenon_H5 zenon_H1c4 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H80 zenon_H3c zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H202 zenon_H1ca zenon_H1d9 zenon_Haa zenon_H16e zenon_H165 zenon_H59 zenon_H21d zenon_H210 zenon_H20f zenon_H155 zenon_H20b zenon_H1ac. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.68 apply (zenon_L1323_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.68 apply (zenon_L1405_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_L1408_); trivial. % 1.57/1.68 apply (zenon_L1404_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.68 apply (zenon_L1323_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_L1407_); trivial. % 1.57/1.68 apply (zenon_L1328_); trivial. % 1.57/1.68 apply (zenon_L1337_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_L1408_); trivial. % 1.57/1.68 apply (zenon_L1337_); trivial. % 1.57/1.68 (* end of lemma zenon_L1409_ *) % 1.57/1.68 assert (zenon_L1410_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ca zenon_H133 zenon_H1c4 zenon_H20f zenon_H210 zenon_H1bc zenon_H1c0 zenon_H231 zenon_H21d zenon_H108 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H55 zenon_H57 zenon_H59 zenon_H71 zenon_H7e zenon_H80 zenon_Hef zenon_H102 zenon_H103 zenon_Hea zenon_He4 zenon_He6 zenon_H8c zenon_H10d zenon_H10b zenon_H119 zenon_H11e zenon_H124 zenon_H138 zenon_H18b. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.68 apply (zenon_L178_); trivial. % 1.57/1.68 apply (zenon_L354_); trivial. % 1.57/1.68 apply (zenon_L153_); trivial. % 1.57/1.68 apply (zenon_L1346_); trivial. % 1.57/1.68 (* end of lemma zenon_L1410_ *) % 1.57/1.68 assert (zenon_L1411_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H2a0 zenon_H2e0 zenon_H18b zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H1 zenon_H102 zenon_Hd4 zenon_H124 zenon_H80 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142 zenon_H1c4 zenon_H5 zenon_He6 zenon_Hea zenon_H103 zenon_H138 zenon_H21d zenon_H155 zenon_H210 zenon_H20f zenon_H165 zenon_H16e zenon_Haa zenon_H59 zenon_H1d9 zenon_H20b zenon_H1ac. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.68 apply (zenon_L1380_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.68 apply (zenon_L1373_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_L1375_); trivial. % 1.57/1.68 apply (zenon_L1404_); trivial. % 1.57/1.68 apply (zenon_L1381_); trivial. % 1.57/1.68 (* end of lemma zenon_L1411_ *) % 1.57/1.68 assert (zenon_L1412_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H236 zenon_H138 zenon_H40 zenon_H21d zenon_Haa zenon_H1be zenon_H1c0 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5 zenon_H1c2 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H239. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_L370_); trivial. % 1.57/1.68 apply (zenon_L1387_); trivial. % 1.57/1.68 (* end of lemma zenon_L1412_ *) % 1.57/1.68 assert (zenon_L1413_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (~(c0_1 (a840))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H71 zenon_H90 zenon_H8e zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H97 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.57/1.68 apply (zenon_L49_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.57/1.68 apply (zenon_L59_); trivial. % 1.57/1.68 apply (zenon_L257_); trivial. % 1.57/1.68 (* end of lemma zenon_L1413_ *) % 1.57/1.68 assert (zenon_L1414_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.57/1.68 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.68 apply (zenon_L1413_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.68 apply (zenon_L48_); trivial. % 1.57/1.68 apply (zenon_L192_); trivial. % 1.57/1.68 (* end of lemma zenon_L1414_ *) % 1.57/1.68 assert (zenon_L1415_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H135 zenon_H40 zenon_H1c4 zenon_H5 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1 zenon_H102 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.68 apply (zenon_L26_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.68 apply (zenon_L1350_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.57/1.68 apply (zenon_L331_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.57/1.68 apply (zenon_L87_); trivial. % 1.57/1.68 exact (zenon_H1 zenon_H2). % 1.57/1.68 exact (zenon_H5 zenon_H6). % 1.57/1.68 (* end of lemma zenon_L1415_ *) % 1.57/1.68 assert (zenon_L1416_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H11d zenon_H40 zenon_H21d zenon_H1c0 zenon_H1be zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.68 apply (zenon_L26_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.68 apply (zenon_L1316_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.68 apply (zenon_L609_); trivial. % 1.57/1.68 exact (zenon_H1be zenon_H1bf). % 1.57/1.68 (* end of lemma zenon_L1416_ *) % 1.57/1.68 assert (zenon_L1417_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H23b zenon_H1dd zenon_H1c2 zenon_H103 zenon_H108 zenon_H21d zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H7e zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H124. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.68 apply (zenon_L247_); trivial. % 1.57/1.68 apply (zenon_L352_); trivial. % 1.57/1.68 apply (zenon_L1416_); trivial. % 1.57/1.68 apply (zenon_L1387_); trivial. % 1.57/1.68 (* end of lemma zenon_L1417_ *) % 1.57/1.68 assert (zenon_L1418_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H135 zenon_H80 zenon_H40 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H55 zenon_H57 zenon_H59 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.68 apply (zenon_L1360_); trivial. % 1.57/1.68 apply (zenon_L468_); trivial. % 1.57/1.68 (* end of lemma zenon_L1418_ *) % 1.57/1.68 assert (zenon_L1419_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H18c zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.57/1.68 apply (zenon_L1316_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.57/1.68 apply (zenon_L136_); trivial. % 1.57/1.68 exact (zenon_H4d zenon_H4e). % 1.57/1.68 (* end of lemma zenon_L1419_ *) % 1.57/1.68 assert (zenon_L1420_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H138. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.68 apply (zenon_L469_); trivial. % 1.57/1.68 apply (zenon_L1418_); trivial. % 1.57/1.68 apply (zenon_L1419_); trivial. % 1.57/1.68 (* end of lemma zenon_L1420_ *) % 1.57/1.68 assert (zenon_L1421_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.68 apply (zenon_L493_); trivial. % 1.57/1.68 apply (zenon_L1332_); trivial. % 1.57/1.68 (* end of lemma zenon_L1421_ *) % 1.57/1.68 assert (zenon_L1422_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H20b zenon_H16e zenon_Haa zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.68 apply (zenon_L1420_); trivial. % 1.57/1.68 apply (zenon_L1421_); trivial. % 1.57/1.68 (* end of lemma zenon_L1422_ *) % 1.57/1.68 assert (zenon_L1423_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1be. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.68 apply (zenon_L1316_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.68 apply (zenon_L882_); trivial. % 1.57/1.68 exact (zenon_H1be zenon_H1bf). % 1.57/1.68 (* end of lemma zenon_L1423_ *) % 1.57/1.68 assert (zenon_L1424_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H7e zenon_H1be zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.68 apply (zenon_L1423_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.68 apply (zenon_L67_); trivial. % 1.57/1.68 exact (zenon_H55 zenon_H56). % 1.57/1.68 (* end of lemma zenon_L1424_ *) % 1.57/1.68 assert (zenon_L1425_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H21d zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H71 zenon_H55 zenon_H7e zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.68 apply (zenon_L58_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.68 apply (zenon_L1424_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.68 apply (zenon_L101_); trivial. % 1.57/1.68 exact (zenon_H125 zenon_H126). % 1.57/1.68 (* end of lemma zenon_L1425_ *) % 1.57/1.68 assert (zenon_L1426_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H127 zenon_H125 zenon_Hd4 zenon_Hd2 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.69 apply (zenon_L122_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 apply (zenon_L1425_); trivial. % 1.57/1.69 (* end of lemma zenon_L1426_ *) % 1.57/1.69 assert (zenon_L1427_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1ca zenon_H202 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H21d zenon_H1be zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H7e zenon_H55 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd4 zenon_H125 zenon_H127 zenon_H54 zenon_H124 zenon_H138. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_L428_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.69 apply (zenon_L418_); trivial. % 1.57/1.69 apply (zenon_L1426_); trivial. % 1.57/1.69 apply (zenon_L1319_); trivial. % 1.57/1.69 (* end of lemma zenon_L1427_ *) % 1.57/1.69 assert (zenon_L1428_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_L1095_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1428_ *) % 1.57/1.69 assert (zenon_L1429_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.69 apply (zenon_L58_); trivial. % 1.57/1.69 apply (zenon_L1428_); trivial. % 1.57/1.69 (* end of lemma zenon_L1429_ *) % 1.57/1.69 assert (zenon_L1430_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H121 zenon_H80 zenon_H54 zenon_Hc2 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H71 zenon_H55 zenon_H7e zenon_Hb4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.69 apply (zenon_L122_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 apply (zenon_L1429_); trivial. % 1.57/1.69 (* end of lemma zenon_L1430_ *) % 1.57/1.69 assert (zenon_L1431_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H11e zenon_Hc2 zenon_H119 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H142 zenon_H54 zenon_H50 zenon_H4d zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.69 apply (zenon_L1360_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 apply (zenon_L660_); trivial. % 1.57/1.69 apply (zenon_L1430_); trivial. % 1.57/1.69 (* end of lemma zenon_L1431_ *) % 1.57/1.69 assert (zenon_L1432_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2e0 zenon_H192 zenon_H191 zenon_H190 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L493_); trivial. % 1.57/1.69 apply (zenon_L1337_); trivial. % 1.57/1.69 (* end of lemma zenon_L1432_ *) % 1.57/1.69 assert (zenon_L1433_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H10d zenon_H7e zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H202 zenon_H1ca zenon_Haa zenon_H16e zenon_H2e0 zenon_H20b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_L428_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.69 apply (zenon_L418_); trivial. % 1.57/1.69 apply (zenon_L1431_); trivial. % 1.57/1.69 apply (zenon_L1319_); trivial. % 1.57/1.69 apply (zenon_L1419_); trivial. % 1.57/1.69 apply (zenon_L1432_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L1427_); trivial. % 1.57/1.69 apply (zenon_L1337_); trivial. % 1.57/1.69 apply (zenon_L1432_); trivial. % 1.57/1.69 (* end of lemma zenon_L1433_ *) % 1.57/1.69 assert (zenon_L1434_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2a0 zenon_H11e zenon_H10d zenon_H2e0 zenon_H20b zenon_H16e zenon_Haa zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H59 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9 zenon_H124 zenon_Hd4 zenon_H119 zenon_H7e zenon_H1f2 zenon_H8c zenon_H142 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H202 zenon_H1ca zenon_H1ac. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.69 apply (zenon_L1422_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L1427_); trivial. % 1.57/1.69 apply (zenon_L1332_); trivial. % 1.57/1.69 apply (zenon_L1421_); trivial. % 1.57/1.69 apply (zenon_L1433_); trivial. % 1.57/1.69 (* end of lemma zenon_L1434_ *) % 1.57/1.69 assert (zenon_L1435_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H21d zenon_H138 zenon_Haa zenon_H16e zenon_H20b. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.69 apply (zenon_L1422_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_L1349_); trivial. % 1.57/1.69 apply (zenon_L1421_); trivial. % 1.57/1.69 (* end of lemma zenon_L1435_ *) % 1.57/1.69 assert (zenon_L1436_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2e0 zenon_H1dd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.69 apply (zenon_L1389_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L161_); trivial. % 1.57/1.69 apply (zenon_L175_); trivial. % 1.57/1.69 (* end of lemma zenon_L1436_ *) % 1.57/1.69 assert (zenon_L1437_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L904_); trivial. % 1.57/1.69 apply (zenon_L37_); trivial. % 1.57/1.69 (* end of lemma zenon_L1437_ *) % 1.57/1.69 assert (zenon_L1438_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_Hf zenon_Hd zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L727_); trivial. % 1.57/1.69 apply (zenon_L1437_); trivial. % 1.57/1.69 (* end of lemma zenon_L1438_ *) % 1.57/1.69 assert (zenon_L1439_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hb zenon_Hd zenon_Hf. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.69 apply (zenon_L8_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.69 apply (zenon_L1389_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L161_); trivial. % 1.57/1.69 apply (zenon_L1339_); trivial. % 1.57/1.69 (* end of lemma zenon_L1439_ *) % 1.57/1.69 assert (zenon_L1440_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H192 zenon_H191 zenon_H190 zenon_H1c0 zenon_H1be zenon_H2e0 zenon_H2e. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L1439_); trivial. % 1.57/1.69 apply (zenon_L17_); trivial. % 1.57/1.69 (* end of lemma zenon_L1440_ *) % 1.57/1.69 assert (zenon_L1441_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H81 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1440_); trivial. % 1.57/1.69 apply (zenon_L110_); trivial. % 1.57/1.69 (* end of lemma zenon_L1441_ *) % 1.57/1.69 assert (zenon_L1442_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H121 zenon_H80 zenon_H54 zenon_H7e zenon_H55 zenon_H71 zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H50 zenon_H4d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.69 apply (zenon_L480_); trivial. % 1.57/1.69 apply (zenon_L1441_); trivial. % 1.57/1.69 (* end of lemma zenon_L1442_ *) % 1.57/1.69 assert (zenon_L1443_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_Hd6 zenon_H1be. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_L72_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1443_ *) % 1.57/1.69 assert (zenon_L1444_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H135 zenon_H2e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H1c6. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e3 ]. % 1.57/1.69 apply (zenon_L1389_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1c7 ]. % 1.57/1.69 apply (zenon_L1443_); trivial. % 1.57/1.69 exact (zenon_H1c6 zenon_H1c7). % 1.57/1.69 (* end of lemma zenon_L1444_ *) % 1.57/1.69 assert (zenon_L1445_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H16e zenon_He4 zenon_H5 zenon_H1c4 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L493_); trivial. % 1.57/1.69 apply (zenon_L1354_); trivial. % 1.57/1.69 (* end of lemma zenon_L1445_ *) % 1.57/1.69 assert (zenon_L1446_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp20)) -> (~(hskp30)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H8a zenon_H9 zenon_H258 zenon_H25a zenon_H8c zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.57/1.69 apply (zenon_L243_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.57/1.69 apply (zenon_L415_); trivial. % 1.57/1.69 apply (zenon_L72_); trivial. % 1.57/1.69 (* end of lemma zenon_L1446_ *) % 1.57/1.69 assert (zenon_L1447_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp30)) -> (~(hskp20)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H8c zenon_H25a zenon_H258 zenon_H9 zenon_H8a zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1be. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_L1446_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1447_ *) % 1.57/1.69 assert (zenon_L1448_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1c0 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be zenon_H21d. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.69 apply (zenon_L1447_); trivial. % 1.57/1.69 apply (zenon_L400_); trivial. % 1.57/1.69 (* end of lemma zenon_L1448_ *) % 1.57/1.69 assert (zenon_L1449_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H231 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H1bc zenon_H2e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L1448_); trivial. % 1.57/1.69 apply (zenon_L405_); trivial. % 1.57/1.69 (* end of lemma zenon_L1449_ *) % 1.57/1.69 assert (zenon_L1450_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.57/1.69 apply (zenon_L174_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.57/1.69 apply (zenon_L97_); trivial. % 1.57/1.69 apply (zenon_L72_); trivial. % 1.57/1.69 (* end of lemma zenon_L1450_ *) % 1.57/1.69 assert (zenon_L1451_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H11d zenon_H11e zenon_H21d zenon_H1be zenon_H119 zenon_H1ae zenon_H1ad zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1c6 zenon_H1c8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.69 apply (zenon_L218_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L98_); trivial. % 1.57/1.69 apply (zenon_L1450_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1451_ *) % 1.57/1.69 assert (zenon_L1452_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_He6 zenon_H21d zenon_H1c8 zenon_H1c6 zenon_Haa zenon_H11e zenon_H124 zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.69 apply (zenon_L1358_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_L407_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 apply (zenon_L1449_); trivial. % 1.57/1.69 apply (zenon_L1451_); trivial. % 1.57/1.69 apply (zenon_L411_); trivial. % 1.57/1.69 (* end of lemma zenon_L1452_ *) % 1.57/1.69 assert (zenon_L1453_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H138 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_L428_); trivial. % 1.57/1.69 apply (zenon_L1372_); trivial. % 1.57/1.69 (* end of lemma zenon_L1453_ *) % 1.57/1.69 assert (zenon_L1454_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H20b zenon_H138 zenon_H54 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H16e zenon_Haa zenon_H1d9. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L1453_); trivial. % 1.57/1.69 apply (zenon_L1378_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L493_); trivial. % 1.57/1.69 apply (zenon_L1378_); trivial. % 1.57/1.69 (* end of lemma zenon_L1454_ *) % 1.57/1.69 assert (zenon_L1455_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H29 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L530_); trivial. % 1.57/1.69 apply (zenon_L1339_); trivial. % 1.57/1.69 (* end of lemma zenon_L1455_ *) % 1.57/1.69 assert (zenon_L1456_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_Hd zenon_Hf. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.69 apply (zenon_L8_); trivial. % 1.57/1.69 apply (zenon_L1455_); trivial. % 1.57/1.69 (* end of lemma zenon_L1456_ *) % 1.57/1.69 assert (zenon_L1457_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2e. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L1456_); trivial. % 1.57/1.69 apply (zenon_L17_); trivial. % 1.57/1.69 (* end of lemma zenon_L1457_ *) % 1.57/1.69 assert (zenon_L1458_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp28)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hb zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H12 zenon_H42 zenon_H43 zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.57/1.69 apply (zenon_L136_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.57/1.69 apply (zenon_L527_); trivial. % 1.57/1.69 apply (zenon_L19_); trivial. % 1.57/1.69 (* end of lemma zenon_L1458_ *) % 1.57/1.69 assert (zenon_L1459_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a794))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.69 do 0 intro. intros zenon_Haa zenon_H2cc zenon_H2cd zenon_Hf0 zenon_H2cb zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L1330_); trivial. % 1.57/1.69 apply (zenon_L350_); trivial. % 1.57/1.69 (* end of lemma zenon_L1459_ *) % 1.57/1.69 assert (zenon_L1460_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1bc zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H264 zenon_H25a zenon_H258 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H119 zenon_H1f5 zenon_H1f6 zenon_H65 zenon_H12 zenon_Hb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.57/1.69 apply (zenon_L243_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.57/1.69 apply (zenon_L432_); trivial. % 1.57/1.69 apply (zenon_L72_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.57/1.69 apply (zenon_L529_); trivial. % 1.57/1.69 exact (zenon_Hb zenon_Hc). % 1.57/1.69 (* end of lemma zenon_L1460_ *) % 1.57/1.69 assert (zenon_L1461_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp28)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.57/1.69 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb zenon_H1f6 zenon_H1f5 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H258 zenon_H25a zenon_H264 zenon_H1bc zenon_H119 zenon_H1ae zenon_H1ad zenon_H112 zenon_H111 zenon_H110 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.69 apply (zenon_L1460_); trivial. % 1.57/1.69 apply (zenon_L1450_); trivial. % 1.57/1.69 (* end of lemma zenon_L1461_ *) % 1.57/1.69 assert (zenon_L1462_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp28)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H110 zenon_H111 zenon_H112 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1f5 zenon_H1f6 zenon_Hb zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1be. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_L1461_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1462_ *) % 1.57/1.69 assert (zenon_L1463_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H135 zenon_H11e zenon_H54 zenon_H40 zenon_H165 zenon_H1c0 zenon_H231 zenon_Haa zenon_H1ad zenon_H1ae zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H1c6 zenon_H1c8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.69 apply (zenon_L218_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L1462_); trivial. % 1.57/1.69 apply (zenon_L405_); trivial. % 1.57/1.69 (* end of lemma zenon_L1463_ *) % 1.57/1.69 assert (zenon_L1464_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H21d zenon_He6 zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H119 zenon_Haa zenon_H11e zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.69 apply (zenon_L1358_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_L407_); trivial. % 1.57/1.69 apply (zenon_L1463_); trivial. % 1.57/1.69 apply (zenon_L411_); trivial. % 1.57/1.69 (* end of lemma zenon_L1464_ *) % 1.57/1.69 assert (zenon_L1465_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_He6 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_Haa zenon_He4 zenon_H16e zenon_H2cd zenon_H2cc zenon_H2cb zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_L493_); trivial. % 1.57/1.69 apply (zenon_L1404_); trivial. % 1.57/1.69 (* end of lemma zenon_L1465_ *) % 1.57/1.69 assert (zenon_L1466_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H50 zenon_H54 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H21d zenon_H138 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H165 zenon_H16e zenon_Haa zenon_H20b. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_L1420_); trivial. % 1.57/1.69 apply (zenon_L1465_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_L1405_); trivial. % 1.57/1.69 apply (zenon_L1465_); trivial. % 1.57/1.69 (* end of lemma zenon_L1466_ *) % 1.57/1.69 assert (zenon_L1467_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H2a0 zenon_H124 zenon_H11e zenon_H119 zenon_H10d zenon_H7e zenon_Hd4 zenon_H1f2 zenon_H8c zenon_H142 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_Hf zenon_Hb4 zenon_H202 zenon_H1ca zenon_H2e0 zenon_H20b zenon_Haa zenon_H16e zenon_H165 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H50 zenon_H59 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H125 zenon_H127 zenon_H80 zenon_H27f zenon_H1d9 zenon_H1ac. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.69 apply (zenon_L1466_); trivial. % 1.57/1.69 apply (zenon_L1433_); trivial. % 1.57/1.69 (* end of lemma zenon_L1467_ *) % 1.57/1.69 assert (zenon_L1468_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H29 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H71 zenon_H210 zenon_H20f zenon_H31 zenon_H30 zenon_H155 zenon_H1be. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.69 apply (zenon_L1316_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.69 apply (zenon_L1181_); trivial. % 1.57/1.69 exact (zenon_H1be zenon_H1bf). % 1.57/1.69 (* end of lemma zenon_L1468_ *) % 1.57/1.69 assert (zenon_L1469_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H3b zenon_H2e zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.69 apply (zenon_L46_); trivial. % 1.57/1.69 apply (zenon_L1468_); trivial. % 1.57/1.69 (* end of lemma zenon_L1469_ *) % 1.57/1.69 assert (zenon_L1470_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8a zenon_H8c zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L343_); trivial. % 1.57/1.69 apply (zenon_L1469_); trivial. % 1.57/1.69 (* end of lemma zenon_L1470_ *) % 1.57/1.69 assert (zenon_L1471_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L520_); trivial. % 1.57/1.69 apply (zenon_L1469_); trivial. % 1.57/1.69 (* end of lemma zenon_L1471_ *) % 1.57/1.69 assert (zenon_L1472_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L475_); trivial. % 1.57/1.69 apply (zenon_L1471_); trivial. % 1.57/1.69 (* end of lemma zenon_L1472_ *) % 1.57/1.69 assert (zenon_L1473_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2e2 zenon_H1c6 zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H2e zenon_H1bc zenon_Hf zenon_H3c zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_H124. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.69 apply (zenon_L1472_); trivial. % 1.57/1.69 apply (zenon_L500_); trivial. % 1.57/1.69 apply (zenon_L1444_); trivial. % 1.57/1.69 (* end of lemma zenon_L1473_ *) % 1.57/1.69 assert (zenon_L1474_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1e6 zenon_H20b zenon_H18b zenon_H124 zenon_H40 zenon_H3c zenon_Hf zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H2e0 zenon_H2e zenon_Hea zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H8c zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H21d zenon_H54 zenon_H1c6 zenon_H2e2 zenon_H138 zenon_Haa zenon_He4 zenon_H16e zenon_H1d9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.69 apply (zenon_L1440_); trivial. % 1.57/1.69 apply (zenon_L1470_); trivial. % 1.57/1.69 apply (zenon_L500_); trivial. % 1.57/1.69 apply (zenon_L1444_); trivial. % 1.57/1.69 apply (zenon_L1473_); trivial. % 1.57/1.69 apply (zenon_L1337_); trivial. % 1.57/1.69 apply (zenon_L1432_); trivial. % 1.57/1.69 (* end of lemma zenon_L1474_ *) % 1.57/1.69 assert (zenon_L1475_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4f zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c0 zenon_H1bc zenon_H2e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.69 apply (zenon_L1448_); trivial. % 1.57/1.69 apply (zenon_L1469_); trivial. % 1.57/1.69 (* end of lemma zenon_L1475_ *) % 1.57/1.69 assert (zenon_L1476_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c1_1 (a799))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H20b zenon_H138 zenon_H124 zenon_H11e zenon_Haa zenon_H1c6 zenon_H1c8 zenon_H21d zenon_He6 zenon_H119 zenon_H258 zenon_H25a zenon_H8c zenon_H155 zenon_H264 zenon_H20f zenon_H210 zenon_H71 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H1d9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.70 apply (zenon_L1358_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_L407_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1475_); trivial. % 1.57/1.70 apply (zenon_L1451_); trivial. % 1.57/1.70 apply (zenon_L245_); trivial. % 1.57/1.70 apply (zenon_L411_); trivial. % 1.57/1.70 (* end of lemma zenon_L1476_ *) % 1.57/1.70 assert (zenon_L1477_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H54 zenon_H21d zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8a zenon_H8c zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L27_); trivial. % 1.57/1.70 apply (zenon_L1470_); trivial. % 1.57/1.70 (* end of lemma zenon_L1477_ *) % 1.57/1.70 assert (zenon_L1478_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H11d zenon_H40 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_Hd4 zenon_H1c0 zenon_H1be zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L26_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.70 apply (zenon_L486_); trivial. % 1.57/1.70 apply (zenon_L175_); trivial. % 1.57/1.70 (* end of lemma zenon_L1478_ *) % 1.57/1.70 assert (zenon_L1479_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L26_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L307_); trivial. % 1.57/1.70 apply (zenon_L72_); trivial. % 1.57/1.70 exact (zenon_H1be zenon_H1bf). % 1.57/1.70 (* end of lemma zenon_L1479_ *) % 1.57/1.70 assert (zenon_L1480_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H1c0 zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H124. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1472_); trivial. % 1.57/1.70 apply (zenon_L1478_); trivial. % 1.57/1.70 apply (zenon_L1479_); trivial. % 1.57/1.70 (* end of lemma zenon_L1480_ *) % 1.57/1.70 assert (zenon_L1481_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L861_); trivial. % 1.57/1.70 (* end of lemma zenon_L1481_ *) % 1.57/1.70 assert (zenon_L1482_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_L1081_); trivial. % 1.57/1.70 apply (zenon_L1481_); trivial. % 1.57/1.70 (* end of lemma zenon_L1482_ *) % 1.57/1.70 assert (zenon_L1483_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H135 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1cd zenon_H1cc zenon_H1cb zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L222_); trivial. % 1.57/1.70 apply (zenon_L535_); trivial. % 1.57/1.70 (* end of lemma zenon_L1483_ *) % 1.57/1.70 assert (zenon_L1484_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H18c zenon_H138 zenon_H103 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2cd zenon_H2cc zenon_H2cb zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_L1081_); trivial. % 1.57/1.70 apply (zenon_L1483_); trivial. % 1.57/1.70 (* end of lemma zenon_L1484_ *) % 1.57/1.70 assert (zenon_L1485_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H138 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.70 apply (zenon_L493_); trivial. % 1.57/1.70 apply (zenon_L1484_); trivial. % 1.57/1.70 (* end of lemma zenon_L1485_ *) % 1.57/1.70 assert (zenon_L1486_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H289 zenon_H255 zenon_H1c8 zenon_H1c6 zenon_H119 zenon_H11e zenon_H20b zenon_H138 zenon_H54 zenon_H202 zenon_H7e zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H21d zenon_H142 zenon_He4 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H16e zenon_Haa zenon_H1d9 zenon_H18b zenon_H103 zenon_H8c zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H59 zenon_H3c zenon_H1c0 zenon_Hd4 zenon_H124 zenon_H231 zenon_H1ca zenon_H165 zenon_H23b zenon_H2e0 zenon_H1e2 zenon_H2a0 zenon_H2a5. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.70 apply (zenon_L1454_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1477_); trivial. % 1.57/1.70 apply (zenon_L1478_); trivial. % 1.57/1.70 apply (zenon_L1479_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1477_); trivial. % 1.57/1.70 apply (zenon_L1416_); trivial. % 1.57/1.70 apply (zenon_L1479_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.70 apply (zenon_L1480_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1472_); trivial. % 1.57/1.70 apply (zenon_L1416_); trivial. % 1.57/1.70 apply (zenon_L1479_); trivial. % 1.57/1.70 apply (zenon_L1482_); trivial. % 1.57/1.70 apply (zenon_L1485_); trivial. % 1.57/1.70 apply (zenon_L1393_); trivial. % 1.57/1.70 apply (zenon_L1464_); trivial. % 1.57/1.70 (* end of lemma zenon_L1486_ *) % 1.57/1.70 assert (zenon_L1487_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_H1c2 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L667_); trivial. % 1.57/1.70 apply (zenon_L657_); trivial. % 1.57/1.70 (* end of lemma zenon_L1487_ *) % 1.57/1.70 assert (zenon_L1488_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L26_); trivial. % 1.57/1.70 apply (zenon_L1487_); trivial. % 1.57/1.70 (* end of lemma zenon_L1488_ *) % 1.57/1.70 assert (zenon_L1489_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H4b zenon_H50 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L478_); trivial. % 1.57/1.70 apply (zenon_L657_); trivial. % 1.57/1.70 (* end of lemma zenon_L1489_ *) % 1.57/1.70 assert (zenon_L1490_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H54 zenon_H10b zenon_H109 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H4b zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L91_); trivial. % 1.57/1.70 apply (zenon_L1489_); trivial. % 1.57/1.70 apply (zenon_L22_); trivial. % 1.57/1.70 (* end of lemma zenon_L1490_ *) % 1.57/1.70 assert (zenon_L1491_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_Hbf zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H32 zenon_H31 zenon_H30 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L657_); trivial. % 1.57/1.70 (* end of lemma zenon_L1491_ *) % 1.57/1.70 assert (zenon_L1492_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.70 apply (zenon_L58_); trivial. % 1.57/1.70 apply (zenon_L1491_); trivial. % 1.57/1.70 (* end of lemma zenon_L1492_ *) % 1.57/1.70 assert (zenon_L1493_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H81 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L62_); trivial. % 1.57/1.70 apply (zenon_L1492_); trivial. % 1.57/1.70 (* end of lemma zenon_L1493_ *) % 1.57/1.70 assert (zenon_L1494_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H80 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_Hd zenon_H71 zenon_H2e zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_L1493_); trivial. % 1.57/1.70 (* end of lemma zenon_L1494_ *) % 1.57/1.70 assert (zenon_L1495_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4 zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L91_); trivial. % 1.57/1.70 apply (zenon_L1492_); trivial. % 1.57/1.70 (* end of lemma zenon_L1495_ *) % 1.57/1.70 assert (zenon_L1496_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_Hb4 zenon_Hb2 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_Hc2 zenon_H40. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1495_); trivial. % 1.57/1.70 apply (zenon_L660_); trivial. % 1.57/1.70 (* end of lemma zenon_L1496_ *) % 1.57/1.70 assert (zenon_L1497_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.70 apply (zenon_L1335_); trivial. % 1.57/1.70 apply (zenon_L764_); trivial. % 1.57/1.70 (* end of lemma zenon_L1497_ *) % 1.57/1.70 assert (zenon_L1498_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H111 zenon_H110 zenon_H112 zenon_H1c2 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.70 apply (zenon_L718_); trivial. % 1.57/1.70 apply (zenon_L764_); trivial. % 1.57/1.70 (* end of lemma zenon_L1498_ *) % 1.57/1.70 assert (zenon_L1499_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H1c2 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.70 apply (zenon_L718_); trivial. % 1.57/1.70 apply (zenon_L1497_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_L1498_); trivial. % 1.57/1.70 (* end of lemma zenon_L1499_ *) % 1.57/1.70 assert (zenon_L1500_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H1c2 zenon_H5 zenon_Haa zenon_H1a2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_L1496_); trivial. % 1.57/1.70 apply (zenon_L1499_); trivial. % 1.57/1.70 (* end of lemma zenon_L1500_ *) % 1.57/1.70 assert (zenon_L1501_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_L95_); trivial. % 1.57/1.70 (* end of lemma zenon_L1501_ *) % 1.57/1.70 assert (zenon_L1502_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H10d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H102 zenon_H80. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_L1501_); trivial. % 1.57/1.70 apply (zenon_L255_); trivial. % 1.57/1.70 (* end of lemma zenon_L1502_ *) % 1.57/1.70 assert (zenon_L1503_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.70 apply (zenon_L169_); trivial. % 1.57/1.70 apply (zenon_L764_); trivial. % 1.57/1.70 (* end of lemma zenon_L1503_ *) % 1.57/1.70 assert (zenon_L1504_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1a9 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.70 apply (zenon_L169_); trivial. % 1.57/1.70 apply (zenon_L1497_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_L1503_); trivial. % 1.57/1.70 (* end of lemma zenon_L1504_ *) % 1.57/1.70 assert (zenon_L1505_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H2a0 zenon_H1ac zenon_H138 zenon_H102 zenon_H1 zenon_H11e zenon_H1f2 zenon_H54 zenon_H10b zenon_H50 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H7e zenon_H10d zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H124 zenon_H202 zenon_H1ca zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_L1488_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_L1494_); trivial. % 1.57/1.70 apply (zenon_L255_); trivial. % 1.57/1.70 apply (zenon_L1500_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1502_); trivial. % 1.57/1.70 apply (zenon_L1500_); trivial. % 1.57/1.70 apply (zenon_L1319_); trivial. % 1.57/1.70 apply (zenon_L1504_); trivial. % 1.57/1.70 (* end of lemma zenon_L1505_ *) % 1.57/1.70 assert (zenon_L1506_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp5)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.70 apply (zenon_L161_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.70 apply (zenon_L658_); trivial. % 1.57/1.70 apply (zenon_L229_); trivial. % 1.57/1.70 (* end of lemma zenon_L1506_ *) % 1.57/1.70 assert (zenon_L1507_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L91_); trivial. % 1.57/1.70 apply (zenon_L1506_); trivial. % 1.57/1.70 (* end of lemma zenon_L1507_ *) % 1.57/1.70 assert (zenon_L1508_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1507_); trivial. % 1.57/1.70 apply (zenon_L22_); trivial. % 1.57/1.70 apply (zenon_L95_); trivial. % 1.57/1.70 (* end of lemma zenon_L1508_ *) % 1.57/1.70 assert (zenon_L1509_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H40 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H5 zenon_H7 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H108 zenon_H102 zenon_H10b zenon_H138. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.70 apply (zenon_L696_); trivial. % 1.57/1.70 apply (zenon_L232_); trivial. % 1.57/1.70 apply (zenon_L720_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_L1508_); trivial. % 1.57/1.70 apply (zenon_L720_); trivial. % 1.57/1.70 apply (zenon_L171_); trivial. % 1.57/1.70 (* end of lemma zenon_L1509_ *) % 1.57/1.70 assert (zenon_L1510_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H11e zenon_H1a2 zenon_Hef zenon_H80 zenon_H127 zenon_H125 zenon_H10d zenon_H1bc zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H50 zenon_H54 zenon_H1 zenon_H7 zenon_H1e2 zenon_H108 zenon_H102 zenon_H10b zenon_H138 zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_L1488_); trivial. % 1.57/1.70 apply (zenon_L1509_); trivial. % 1.57/1.70 (* end of lemma zenon_L1510_ *) % 1.57/1.70 assert (zenon_L1511_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1d8 zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L222_); trivial. % 1.57/1.70 apply (zenon_L657_); trivial. % 1.57/1.70 (* end of lemma zenon_L1511_ *) % 1.57/1.70 assert (zenon_L1512_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H20b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H1c8 zenon_H1c6 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H138. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_L956_); trivial. % 1.57/1.70 apply (zenon_L1511_); trivial. % 1.57/1.70 (* end of lemma zenon_L1512_ *) % 1.57/1.70 assert (zenon_L1513_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H80 zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1495_); trivial. % 1.57/1.70 apply (zenon_L1370_); trivial. % 1.57/1.70 (* end of lemma zenon_L1513_ *) % 1.57/1.70 assert (zenon_L1514_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H20b zenon_H231 zenon_H1f4 zenon_H1e2 zenon_H1f6 zenon_H1f5 zenon_H1c0 zenon_H2e0 zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_L1488_); trivial. % 1.57/1.70 apply (zenon_L1393_); trivial. % 1.57/1.70 (* end of lemma zenon_L1514_ *) % 1.57/1.70 assert (zenon_L1515_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H2a5 zenon_H20b zenon_H231 zenon_H1e2 zenon_H1c0 zenon_H40 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H59 zenon_H11e zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H54 zenon_H10b zenon_H50 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H202 zenon_H80 zenon_H1ac zenon_H2a0. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_L1488_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_L1513_); trivial. % 1.57/1.70 apply (zenon_L1499_); trivial. % 1.57/1.70 apply (zenon_L1504_); trivial. % 1.57/1.70 apply (zenon_L1514_); trivial. % 1.57/1.70 (* end of lemma zenon_L1515_ *) % 1.57/1.70 assert (zenon_L1516_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.70 do 0 intro. intros zenon_H3b zenon_H103 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1c0 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.70 apply (zenon_L1316_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.70 apply (zenon_L402_); trivial. % 1.57/1.70 apply (zenon_L657_); trivial. % 1.57/1.70 (* end of lemma zenon_L1516_ *) % 1.57/1.70 assert (zenon_L1517_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L91_); trivial. % 1.57/1.70 apply (zenon_L1516_); trivial. % 1.57/1.70 (* end of lemma zenon_L1517_ *) % 1.57/1.70 assert (zenon_L1518_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H119 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H10b zenon_H2e zenon_H1bc zenon_Hd zenon_Hf zenon_H54. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.70 apply (zenon_L1517_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.70 apply (zenon_L401_); trivial. % 1.57/1.70 apply (zenon_L1516_); trivial. % 1.57/1.70 apply (zenon_L733_); trivial. % 1.57/1.70 (* end of lemma zenon_L1518_ *) % 1.57/1.70 assert (zenon_L1519_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H138 zenon_H50 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H54 zenon_Hf zenon_H1bc zenon_H2e zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c0 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H119 zenon_H11e zenon_H20b. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_L1518_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_L1501_); trivial. % 1.57/1.70 apply (zenon_L733_); trivial. % 1.57/1.70 apply (zenon_L1511_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_L1518_); trivial. % 1.57/1.70 apply (zenon_L736_); trivial. % 1.57/1.70 apply (zenon_L1511_); trivial. % 1.57/1.70 (* end of lemma zenon_L1519_ *) % 1.57/1.70 assert (zenon_L1520_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H289 zenon_H255 zenon_H138 zenon_H10d zenon_H1 zenon_H102 zenon_Hf zenon_H1bc zenon_H2e zenon_H119 zenon_H2a0 zenon_H1ac zenon_H80 zenon_H202 zenon_H7e zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H50 zenon_H10b zenon_H54 zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H11e zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H1c0 zenon_H1e2 zenon_H231 zenon_H20b zenon_H2a5. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.57/1.70 apply (zenon_L1515_); trivial. % 1.57/1.70 apply (zenon_L1519_); trivial. % 1.57/1.70 (* end of lemma zenon_L1520_ *) % 1.57/1.70 assert (zenon_L1521_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H11e zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_L417_); trivial. % 1.57/1.70 apply (zenon_L255_); trivial. % 1.57/1.70 (* end of lemma zenon_L1521_ *) % 1.57/1.70 assert (zenon_L1522_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H2a0 zenon_H1ac zenon_H124 zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H10d zenon_H7e zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H50 zenon_H10b zenon_H54 zenon_H11e zenon_H202 zenon_H1ca zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.70 apply (zenon_L1488_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.70 apply (zenon_L1521_); trivial. % 1.57/1.70 apply (zenon_L1500_); trivial. % 1.57/1.70 apply (zenon_L1319_); trivial. % 1.57/1.70 apply (zenon_L1504_); trivial. % 1.57/1.70 (* end of lemma zenon_L1522_ *) % 1.57/1.70 assert (zenon_L1523_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_Haa zenon_H1a2 zenon_H1d9 zenon_H27f zenon_H2e0 zenon_H55 zenon_Hd4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H1c0 zenon_H3c zenon_H155 zenon_H54 zenon_H10b zenon_H50 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H71 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H7e zenon_H80 zenon_H21d zenon_H1c6 zenon_H2e2 zenon_H138 zenon_H1ca zenon_H20b. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.70 apply (zenon_L1436_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.70 apply (zenon_L1490_); trivial. % 1.57/1.70 apply (zenon_L1438_); trivial. % 1.57/1.70 apply (zenon_L1442_); trivial. % 1.57/1.70 apply (zenon_L1444_); trivial. % 1.57/1.70 apply (zenon_L1419_); trivial. % 1.57/1.70 apply (zenon_L1511_); trivial. % 1.57/1.70 apply (zenon_L1504_); trivial. % 1.57/1.70 (* end of lemma zenon_L1523_ *) % 1.57/1.70 assert (zenon_L1524_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.57/1.70 do 0 intro. intros zenon_H255 zenon_H165 zenon_H231 zenon_H1c8 zenon_H119 zenon_H2a0 zenon_H1ac zenon_H124 zenon_H2e0 zenon_Haa zenon_H1a2 zenon_H10d zenon_H7e zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_H50 zenon_H10b zenon_H54 zenon_H11e zenon_H202 zenon_H1ca zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H20b zenon_H138 zenon_H2e2 zenon_H1c6 zenon_H21d zenon_Hf zenon_H133 zenon_H264 zenon_H1bc zenon_H155 zenon_H3c zenon_H1c0 zenon_H1e2 zenon_H27f zenon_H1d9 zenon_H2a5. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.71 apply (zenon_L1522_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.71 apply (zenon_L1488_); trivial. % 1.57/1.71 apply (zenon_L1523_); trivial. % 1.57/1.71 apply (zenon_L1512_); trivial. % 1.57/1.71 (* end of lemma zenon_L1524_ *) % 1.57/1.71 assert (zenon_L1525_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H289 zenon_H255 zenon_H165 zenon_H1bc zenon_H2e zenon_Hf zenon_H3c zenon_H1c8 zenon_H1c6 zenon_H119 zenon_H138 zenon_H2a0 zenon_H1ac zenon_H80 zenon_H202 zenon_H7e zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H50 zenon_H10b zenon_H54 zenon_H1a2 zenon_Haa zenon_H2e0 zenon_H11e zenon_H59 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40 zenon_H1c0 zenon_H1e2 zenon_H231 zenon_H20b zenon_H2a5. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.57/1.71 apply (zenon_L1515_); trivial. % 1.57/1.71 apply (zenon_L1512_); trivial. % 1.57/1.71 (* end of lemma zenon_L1525_ *) % 1.57/1.71 assert (zenon_L1526_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H125 zenon_H127 zenon_H2e. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L637_); trivial. % 1.57/1.71 apply (zenon_L17_); trivial. % 1.57/1.71 (* end of lemma zenon_L1526_ *) % 1.57/1.71 assert (zenon_L1527_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp12)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H1be. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.71 apply (zenon_L371_); trivial. % 1.57/1.71 exact (zenon_H1be zenon_H1bf). % 1.57/1.71 (* end of lemma zenon_L1527_ *) % 1.57/1.71 assert (zenon_L1528_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H21d zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_H210 zenon_H20f zenon_H30 zenon_H31 zenon_H32 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H103 zenon_H1be. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.71 apply (zenon_L820_); trivial. % 1.57/1.71 apply (zenon_L657_); trivial. % 1.57/1.71 exact (zenon_H1be zenon_H1bf). % 1.57/1.71 (* end of lemma zenon_L1528_ *) % 1.57/1.71 assert (zenon_L1529_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.71 apply (zenon_L1527_); trivial. % 1.57/1.71 apply (zenon_L1528_); trivial. % 1.57/1.71 (* end of lemma zenon_L1529_ *) % 1.57/1.71 assert (zenon_L1530_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H40 zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L91_); trivial. % 1.57/1.71 apply (zenon_L1529_); trivial. % 1.57/1.71 (* end of lemma zenon_L1530_ *) % 1.57/1.71 assert (zenon_L1531_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_Hc2 zenon_H40. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.71 apply (zenon_L1530_); trivial. % 1.57/1.71 apply (zenon_L660_); trivial. % 1.57/1.71 (* end of lemma zenon_L1531_ *) % 1.57/1.71 assert (zenon_L1532_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H65 zenon_H12 zenon_H2cb zenon_H199 zenon_H2cc zenon_H2cd. % 1.57/1.71 generalize (zenon_H65 (a794)). zenon_intro zenon_H2d4. % 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ]. % 1.57/1.71 exact (zenon_H11 zenon_H12). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d6 ]. % 1.57/1.71 exact (zenon_H2cb zenon_H2d1). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d2 ]. % 1.57/1.71 generalize (zenon_H199 (a794)). zenon_intro zenon_H2e4. % 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e5 ]. % 1.57/1.71 exact (zenon_H11 zenon_H12). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2db | zenon_intro zenon_H2d0 ]. % 1.57/1.71 exact (zenon_H2d7 zenon_H2db). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ]. % 1.57/1.71 exact (zenon_H2cc zenon_H2d3). % 1.57/1.71 exact (zenon_H2d2 zenon_H2cd). % 1.57/1.71 exact (zenon_H2d2 zenon_H2cd). % 1.57/1.71 (* end of lemma zenon_L1532_ *) % 1.57/1.71 assert (zenon_L1533_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H65 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.71 apply (zenon_L1532_); trivial. % 1.57/1.71 apply (zenon_L764_); trivial. % 1.57/1.71 (* end of lemma zenon_L1533_ *) % 1.57/1.71 assert (zenon_L1534_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_Ha0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.71 apply (zenon_L1533_); trivial. % 1.57/1.71 apply (zenon_L1033_); trivial. % 1.57/1.71 (* end of lemma zenon_L1534_ *) % 1.57/1.71 assert (zenon_L1535_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H4b zenon_H4d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.71 apply (zenon_L1335_); trivial. % 1.57/1.71 apply (zenon_L1033_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_L1534_); trivial. % 1.57/1.71 (* end of lemma zenon_L1535_ *) % 1.57/1.71 assert (zenon_L1536_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hc2 zenon_H2e0 zenon_H1a2 zenon_H28d zenon_H28e zenon_H28c zenon_H190 zenon_H191 zenon_H192 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.71 apply (zenon_L1527_); trivial. % 1.57/1.71 apply (zenon_L1535_); trivial. % 1.57/1.71 (* end of lemma zenon_L1536_ *) % 1.57/1.71 assert (zenon_L1537_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_Ha0 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.71 apply (zenon_L163_); trivial. % 1.57/1.71 apply (zenon_L764_); trivial. % 1.57/1.71 (* end of lemma zenon_L1537_ *) % 1.57/1.71 assert (zenon_L1538_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H112 zenon_H110 zenon_H111 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H28c zenon_H28e zenon_H28d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.57/1.71 apply (zenon_L163_); trivial. % 1.57/1.71 apply (zenon_L1497_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_L1537_); trivial. % 1.57/1.71 (* end of lemma zenon_L1538_ *) % 1.57/1.71 assert (zenon_L1539_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a838)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H112 zenon_H110 zenon_H111 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1a2 zenon_Hb2 zenon_Hb4. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.71 apply (zenon_L58_); trivial. % 1.57/1.71 apply (zenon_L1538_); trivial. % 1.57/1.71 (* end of lemma zenon_L1539_ *) % 1.57/1.71 assert (zenon_L1540_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H80 zenon_H71 zenon_Haa zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1e2 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28e zenon_H28d zenon_H1a2 zenon_H2e0 zenon_Hc2. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L1536_); trivial. % 1.57/1.71 apply (zenon_L1539_); trivial. % 1.57/1.71 (* end of lemma zenon_L1540_ *) % 1.57/1.71 assert (zenon_L1541_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H11d zenon_H11e zenon_Haa zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1a2 zenon_H2e0 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hc2 zenon_H71 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L1490_); trivial. % 1.57/1.71 apply (zenon_L1531_); trivial. % 1.57/1.71 apply (zenon_L1540_); trivial. % 1.57/1.71 (* end of lemma zenon_L1541_ *) % 1.57/1.71 assert (zenon_L1542_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1ca zenon_H202 zenon_H11e zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H21d zenon_H20f zenon_H210 zenon_H2e0 zenon_H1a2 zenon_H1e2 zenon_Haa zenon_H124 zenon_H20b. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_L1521_); trivial. % 1.57/1.71 apply (zenon_L1541_); trivial. % 1.57/1.71 apply (zenon_L1319_); trivial. % 1.57/1.71 apply (zenon_L1511_); trivial. % 1.57/1.71 apply (zenon_L1504_); trivial. % 1.57/1.71 (* end of lemma zenon_L1542_ *) % 1.57/1.71 assert (zenon_L1543_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_H2e0 zenon_H1be zenon_H1c0 zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.71 apply (zenon_L1440_); trivial. % 1.57/1.71 apply (zenon_L22_); trivial. % 1.57/1.71 (* end of lemma zenon_L1543_ *) % 1.57/1.71 assert (zenon_L1544_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H20b zenon_H59 zenon_H57 zenon_H55 zenon_H21d zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H71 zenon_Hc2 zenon_H40. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L26_); trivial. % 1.57/1.71 apply (zenon_L1529_); trivial. % 1.57/1.71 apply (zenon_L1511_); trivial. % 1.57/1.71 (* end of lemma zenon_L1544_ *) % 1.57/1.71 assert (zenon_L1545_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a803))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1f4 zenon_H65 zenon_H1f6 zenon_H1f5 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1be. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.71 apply (zenon_L1061_); trivial. % 1.57/1.71 exact (zenon_H1be zenon_H1bf). % 1.57/1.71 (* end of lemma zenon_L1545_ *) % 1.57/1.71 assert (zenon_L1546_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H50 zenon_H4b zenon_H4d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.71 apply (zenon_L161_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.71 apply (zenon_L1545_); trivial. % 1.57/1.71 apply (zenon_L1033_); trivial. % 1.57/1.71 (* end of lemma zenon_L1546_ *) % 1.57/1.71 assert (zenon_L1547_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hc2 zenon_H1e2 zenon_H4b zenon_H4d zenon_H50 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.71 apply (zenon_L1527_); trivial. % 1.57/1.71 apply (zenon_L1546_); trivial. % 1.57/1.71 (* end of lemma zenon_L1547_ *) % 1.57/1.71 assert (zenon_L1548_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H80 zenon_H2e0 zenon_H71 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H190 zenon_H191 zenon_H192 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H50 zenon_H4d zenon_H1e2 zenon_Hc2. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L1547_); trivial. % 1.57/1.71 apply (zenon_L1539_); trivial. % 1.57/1.71 (* end of lemma zenon_L1548_ *) % 1.57/1.71 assert (zenon_L1549_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H71 zenon_H2e zenon_H21d zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1e2 zenon_H50 zenon_H28c zenon_H28e zenon_H28d zenon_H1a2 zenon_H2e0 zenon_Hc2 zenon_H11e zenon_H54 zenon_H10b zenon_H103 zenon_H1f2 zenon_H8c zenon_H202 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H119 zenon_Haa zenon_H124 zenon_H138 zenon_H20b. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L1536_); trivial. % 1.57/1.71 apply (zenon_L427_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_L1521_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.71 apply (zenon_L1513_); trivial. % 1.57/1.71 apply (zenon_L1548_); trivial. % 1.57/1.71 apply (zenon_L1419_); trivial. % 1.57/1.71 apply (zenon_L1511_); trivial. % 1.57/1.71 apply (zenon_L1504_); trivial. % 1.57/1.71 (* end of lemma zenon_L1549_ *) % 1.57/1.71 assert (zenon_L1550_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.71 apply (zenon_L188_); trivial. % 1.57/1.71 apply (zenon_L191_); trivial. % 1.57/1.71 (* end of lemma zenon_L1550_ *) % 1.57/1.71 assert (zenon_L1551_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H3b zenon_H103 zenon_H1be zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.71 apply (zenon_L1316_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.71 apply (zenon_L1550_); trivial. % 1.57/1.71 apply (zenon_L657_); trivial. % 1.57/1.71 (* end of lemma zenon_L1551_ *) % 1.57/1.71 assert (zenon_L1552_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H11d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H57 zenon_H59. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L26_); trivial. % 1.57/1.71 apply (zenon_L1551_); trivial. % 1.57/1.71 (* end of lemma zenon_L1552_ *) % 1.57/1.71 assert (zenon_L1553_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((hskp0)\/(hskp21))) -> (~(hskp0)) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H289 zenon_H255 zenon_H1c8 zenon_H1c6 zenon_H2a0 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H2e zenon_H1e2 zenon_H50 zenon_H1a2 zenon_H2e0 zenon_H11e zenon_H54 zenon_H10b zenon_H1f2 zenon_H8c zenon_H202 zenon_H7e zenon_H119 zenon_Haa zenon_H124 zenon_H138 zenon_H40 zenon_Hc2 zenon_H71 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_H210 zenon_H20f zenon_H21d zenon_H59 zenon_H20b zenon_H18b zenon_H1ca zenon_H133 zenon_Hd4 zenon_H1c0 zenon_H3c zenon_Hea zenon_H1bc zenon_H165 zenon_H23b zenon_H231 zenon_H2a5. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.71 apply (zenon_L1544_); trivial. % 1.57/1.71 apply (zenon_L1549_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_L1477_); trivial. % 1.57/1.71 apply (zenon_L1552_); trivial. % 1.57/1.71 apply (zenon_L1479_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.71 apply (zenon_L1480_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.71 apply (zenon_L1457_); trivial. % 1.57/1.71 apply (zenon_L1471_); trivial. % 1.57/1.71 apply (zenon_L1552_); trivial. % 1.57/1.71 apply (zenon_L1479_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_L1081_); trivial. % 1.57/1.71 apply (zenon_L1479_); trivial. % 1.57/1.71 apply (zenon_L1485_); trivial. % 1.57/1.71 apply (zenon_L1393_); trivial. % 1.57/1.71 apply (zenon_L1512_); trivial. % 1.57/1.71 (* end of lemma zenon_L1553_ *) % 1.57/1.71 assert (zenon_L1554_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H2e6 zenon_H12 zenon_H2e7 zenon_H2e8 zenon_H2e9. % 1.57/1.71 generalize (zenon_H2e6 (a793)). zenon_intro zenon_H2ea. % 1.57/1.71 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H2eb ]. % 1.57/1.71 exact (zenon_H11 zenon_H12). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ]. % 1.57/1.71 exact (zenon_H2e7 zenon_H2ed). % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2ee ]. % 1.57/1.71 exact (zenon_H2ef zenon_H2e8). % 1.57/1.71 exact (zenon_H2ee zenon_H2e9). % 1.57/1.71 (* end of lemma zenon_L1554_ *) % 1.57/1.71 assert (zenon_L1555_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H4d zenon_H109 zenon_H10d zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.71 apply (zenon_L94_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.71 apply (zenon_L1554_); trivial. % 1.57/1.71 apply (zenon_L108_); trivial. % 1.57/1.71 (* end of lemma zenon_L1555_ *) % 1.57/1.71 assert (zenon_L1556_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L55_); trivial. % 1.57/1.71 apply (zenon_L1555_); trivial. % 1.57/1.71 (* end of lemma zenon_L1556_ *) % 1.57/1.71 assert (zenon_L1557_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H10b zenon_H1 zenon_H102 zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H71 zenon_H7e zenon_H11e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.71 apply (zenon_L1556_); trivial. % 1.57/1.71 apply (zenon_L112_); trivial. % 1.57/1.71 apply (zenon_L114_); trivial. % 1.57/1.71 (* end of lemma zenon_L1557_ *) % 1.57/1.71 assert (zenon_L1558_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.71 apply (zenon_L129_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.71 apply (zenon_L1554_); trivial. % 1.57/1.71 apply (zenon_L108_); trivial. % 1.57/1.71 (* end of lemma zenon_L1558_ *) % 1.57/1.71 assert (zenon_L1559_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.71 apply (zenon_L58_); trivial. % 1.57/1.71 apply (zenon_L1558_); trivial. % 1.57/1.71 (* end of lemma zenon_L1559_ *) % 1.57/1.71 assert (zenon_L1560_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H1 zenon_H55 zenon_H57 zenon_H59 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H40 zenon_H80. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L122_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L62_); trivial. % 1.57/1.71 apply (zenon_L1559_); trivial. % 1.57/1.71 apply (zenon_L135_); trivial. % 1.57/1.71 (* end of lemma zenon_L1560_ *) % 1.57/1.71 assert (zenon_L1561_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H124 zenon_Hd4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H59 zenon_H57 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H102 zenon_H138. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.71 apply (zenon_L265_); trivial. % 1.57/1.71 apply (zenon_L1560_); trivial. % 1.57/1.71 (* end of lemma zenon_L1561_ *) % 1.57/1.71 assert (zenon_L1562_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_He4 zenon_H142 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_L702_); trivial. % 1.57/1.71 apply (zenon_L252_); trivial. % 1.57/1.71 (* end of lemma zenon_L1562_ *) % 1.57/1.71 assert (zenon_L1563_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H138 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_L1562_); trivial. % 1.57/1.71 apply (zenon_L168_); trivial. % 1.57/1.71 (* end of lemma zenon_L1563_ *) % 1.57/1.71 assert (zenon_L1564_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_Hec zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H27 zenon_H2a zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.57/1.71 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.71 apply (zenon_L23_); trivial. % 1.57/1.71 apply (zenon_L1555_); trivial. % 1.57/1.71 (* end of lemma zenon_L1564_ *) % 1.57/1.71 assert (zenon_L1565_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp21)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H109 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_Hef. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.71 apply (zenon_L4_); trivial. % 1.57/1.71 apply (zenon_L1564_); trivial. % 1.57/1.71 apply (zenon_L454_); trivial. % 1.57/1.71 (* end of lemma zenon_L1565_ *) % 1.57/1.71 assert (zenon_L1566_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H108 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H7 zenon_H5 zenon_H1 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hef zenon_H142 zenon_He4 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H11e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.71 apply (zenon_L1565_); trivial. % 1.57/1.71 apply (zenon_L167_); trivial. % 1.57/1.71 apply (zenon_L168_); trivial. % 1.57/1.71 (* end of lemma zenon_L1566_ *) % 1.57/1.71 assert (zenon_L1567_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H138 zenon_H1a2 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1ca. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.71 apply (zenon_L1563_); trivial. % 1.57/1.71 apply (zenon_L1566_); trivial. % 1.57/1.71 apply (zenon_L171_); trivial. % 1.57/1.71 (* end of lemma zenon_L1567_ *) % 1.57/1.71 assert (zenon_L1568_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H108 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.71 apply (zenon_L185_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.71 apply (zenon_L27_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L26_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.71 apply (zenon_L46_); trivial. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.71 apply (zenon_L201_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.71 apply (zenon_L1554_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.71 apply (zenon_L201_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.71 apply (zenon_L461_); trivial. % 1.57/1.71 exact (zenon_H125 zenon_H126). % 1.57/1.71 (* end of lemma zenon_L1568_ *) % 1.57/1.71 assert (zenon_L1569_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H124 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H108. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.71 apply (zenon_L1568_); trivial. % 1.57/1.71 apply (zenon_L195_); trivial. % 1.57/1.71 (* end of lemma zenon_L1569_ *) % 1.57/1.71 assert (zenon_L1570_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp8)) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.71 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H55 zenon_H44 zenon_H43 zenon_H42 zenon_H7e zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.71 apply (zenon_L193_); trivial. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.71 apply (zenon_L1554_); trivial. % 1.57/1.71 apply (zenon_L108_); trivial. % 1.57/1.71 (* end of lemma zenon_L1570_ *) % 1.57/1.71 assert (zenon_L1571_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L26_); trivial. % 1.57/1.71 apply (zenon_L1570_); trivial. % 1.57/1.71 (* end of lemma zenon_L1571_ *) % 1.57/1.71 assert (zenon_L1572_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.71 apply (zenon_L109_); trivial. % 1.57/1.71 apply (zenon_L1570_); trivial. % 1.57/1.71 (* end of lemma zenon_L1572_ *) % 1.57/1.71 assert (zenon_L1573_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.71 do 0 intro. intros zenon_H121 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.71 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.71 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.71 apply (zenon_L27_); trivial. % 1.57/1.71 apply (zenon_L1572_); trivial. % 1.57/1.71 (* end of lemma zenon_L1573_ *) % 1.57/1.71 assert (zenon_L1574_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H11e zenon_H133 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H59 zenon_H57 zenon_H55 zenon_Haa zenon_H1ae zenon_H1ad zenon_H7e zenon_H1be zenon_H1c0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L207_); trivial. % 1.57/1.72 apply (zenon_L1571_); trivial. % 1.57/1.72 apply (zenon_L1573_); trivial. % 1.57/1.72 (* end of lemma zenon_L1574_ *) % 1.57/1.72 assert (zenon_L1575_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hef zenon_H54 zenon_H2e zenon_H2a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_He8 zenon_Hea zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H1bc zenon_H1c2 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H71 zenon_H7e zenon_H1c4 zenon_H108. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L203_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L76_); trivial. % 1.57/1.72 apply (zenon_L1571_); trivial. % 1.57/1.72 (* end of lemma zenon_L1575_ *) % 1.57/1.72 assert (zenon_L1576_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H148 zenon_H147 zenon_H153 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.72 apply (zenon_L219_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.72 apply (zenon_L1554_); trivial. % 1.57/1.72 apply (zenon_L108_); trivial. % 1.57/1.72 (* end of lemma zenon_L1576_ *) % 1.57/1.72 assert (zenon_L1577_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L26_); trivial. % 1.57/1.72 apply (zenon_L1576_); trivial. % 1.57/1.72 (* end of lemma zenon_L1577_ *) % 1.57/1.72 assert (zenon_L1578_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.72 apply (zenon_L216_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L155_); trivial. % 1.57/1.72 apply (zenon_L1577_); trivial. % 1.57/1.72 (* end of lemma zenon_L1578_ *) % 1.57/1.72 assert (zenon_L1579_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_Had zenon_H80 zenon_Haa zenon_H90 zenon_H8f zenon_H8e zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L55_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L48_); trivial. % 1.57/1.72 apply (zenon_L52_); trivial. % 1.57/1.72 (* end of lemma zenon_L1579_ *) % 1.57/1.72 assert (zenon_L1580_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H108 zenon_Hac zenon_H80 zenon_Haa zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H4d zenon_H50 zenon_H86 zenon_H88 zenon_H54 zenon_H7e zenon_H8c zenon_H8a zenon_H163 zenon_H161 zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_Hf zenon_H2a zenon_Hef. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.72 apply (zenon_L185_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L47_); trivial. % 1.57/1.72 apply (zenon_L1579_); trivial. % 1.57/1.72 (* end of lemma zenon_L1580_ *) % 1.57/1.72 assert (zenon_L1581_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H153 zenon_H1e4 zenon_Hd4 zenon_Hd2 zenon_Hef zenon_H2a zenon_Hf zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H2e zenon_H1bc zenon_H161 zenon_H163 zenon_H8c zenon_H7e zenon_H54 zenon_H88 zenon_H86 zenon_H50 zenon_H4d zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Haa zenon_H80 zenon_Hac zenon_H108. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L1580_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L543_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L55_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L234_); trivial. % 1.57/1.72 apply (zenon_L175_); trivial. % 1.57/1.72 (* end of lemma zenon_L1581_ *) % 1.57/1.72 assert (zenon_L1582_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H4f zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd7 zenon_Hd9 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.72 apply (zenon_L46_); trivial. % 1.57/1.72 apply (zenon_L523_); trivial. % 1.57/1.72 (* end of lemma zenon_L1582_ *) % 1.57/1.72 assert (zenon_L1583_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H54 zenon_H2e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H8a zenon_H8c zenon_H59 zenon_H57 zenon_H55 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_He8 zenon_Hea zenon_H40. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L76_); trivial. % 1.57/1.72 apply (zenon_L1582_); trivial. % 1.57/1.72 (* end of lemma zenon_L1583_ *) % 1.57/1.72 assert (zenon_L1584_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H5d zenon_H5e zenon_H5c zenon_Hf0 zenon_H12 zenon_He8. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.72 apply (zenon_L605_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.72 apply (zenon_L84_); trivial. % 1.57/1.72 apply (zenon_L86_); trivial. % 1.57/1.72 (* end of lemma zenon_L1584_ *) % 1.57/1.72 assert (zenon_L1585_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp15)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H102 zenon_He8 zenon_H5c zenon_H5e zenon_H5d zenon_Hea zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Hd8 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.57/1.72 apply (zenon_L1584_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.57/1.72 apply (zenon_L87_); trivial. % 1.57/1.72 exact (zenon_H1 zenon_H2). % 1.57/1.72 (* end of lemma zenon_L1585_ *) % 1.57/1.72 assert (zenon_L1586_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H1be zenon_H23b zenon_H1ad zenon_H1dd zenon_H1ae zenon_H21d zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H71 zenon_Hea zenon_He8 zenon_H102 zenon_H5. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.72 apply (zenon_L606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.72 apply (zenon_L1584_); trivial. % 1.57/1.72 exact (zenon_H1be zenon_H1bf). % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.72 apply (zenon_L1585_); trivial. % 1.57/1.72 exact (zenon_H5 zenon_H6). % 1.57/1.72 (* end of lemma zenon_L1586_ *) % 1.57/1.72 assert (zenon_L1587_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_Had zenon_H80 zenon_H1c4 zenon_H5 zenon_Hfd zenon_H1 zenon_H102 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H103 zenon_H1be zenon_H21d zenon_H40 zenon_Hea zenon_He8 zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L80_); trivial. % 1.57/1.72 apply (zenon_L1586_); trivial. % 1.57/1.72 (* end of lemma zenon_L1587_ *) % 1.57/1.72 assert (zenon_L1588_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H80 zenon_H1c4 zenon_H1 zenon_H102 zenon_H71 zenon_H103 zenon_H1be zenon_H21d zenon_H4d zenon_H50 zenon_H88 zenon_H86 zenon_Hd4 zenon_Hd2 zenon_Haa zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L1583_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L543_); trivial. % 1.57/1.72 apply (zenon_L1587_); trivial. % 1.57/1.72 (* end of lemma zenon_L1588_ *) % 1.57/1.72 assert (zenon_L1589_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H40 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H55 zenon_H57 zenon_H59. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L26_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L266_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L116_); trivial. % 1.57/1.72 apply (zenon_L350_); trivial. % 1.57/1.72 (* end of lemma zenon_L1589_ *) % 1.57/1.72 assert (zenon_L1590_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a797)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a865))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> False). % 1.57/1.72 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_H32 zenon_H30 zenon_H31 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H12 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L605_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L32_); trivial. % 1.57/1.72 apply (zenon_L52_); trivial. % 1.57/1.72 (* end of lemma zenon_L1590_ *) % 1.57/1.72 assert (zenon_L1591_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H81 zenon_H40 zenon_H21d zenon_H71 zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_Haa zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1be zenon_H1c0 zenon_Hf zenon_Hd zenon_H14 zenon_H15 zenon_H16 zenon_H27 zenon_H2a zenon_H2e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L14_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.72 apply (zenon_L286_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.72 apply (zenon_L1590_); trivial. % 1.57/1.72 exact (zenon_H1be zenon_H1bf). % 1.57/1.72 (* end of lemma zenon_L1591_ *) % 1.57/1.72 assert (zenon_L1592_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(hskp25)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H3b zenon_Haa zenon_H86 zenon_H84 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H90 zenon_H8f zenon_H8e zenon_H231 zenon_H1be zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L266_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L48_); trivial. % 1.57/1.72 apply (zenon_L350_); trivial. % 1.57/1.72 (* end of lemma zenon_L1592_ *) % 1.57/1.72 assert (zenon_L1593_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp25)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H40 zenon_Haa zenon_H1c0 zenon_H1be zenon_H1ae zenon_H1ad zenon_H231 zenon_H90 zenon_H8f zenon_H8e zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H84 zenon_H86 zenon_H88 zenon_H12 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L109_); trivial. % 1.57/1.72 apply (zenon_L1592_); trivial. % 1.57/1.72 (* end of lemma zenon_L1593_ *) % 1.57/1.72 assert (zenon_L1594_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H101 zenon_Hac zenon_H80 zenon_H71 zenon_H1dd zenon_H23b zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H133 zenon_H112 zenon_H111 zenon_H110 zenon_H12c zenon_H12b zenon_H12a zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H40. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L1593_); trivial. % 1.57/1.72 apply (zenon_L1579_); trivial. % 1.57/1.72 (* end of lemma zenon_L1594_ *) % 1.57/1.72 assert (zenon_L1595_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp22)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.72 do 0 intro. intros zenon_Hec zenon_H40 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H27 zenon_H2a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1be zenon_H1c0 zenon_H55 zenon_H57 zenon_H59. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L26_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.72 apply (zenon_L286_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.72 apply (zenon_L393_); trivial. % 1.57/1.72 apply (zenon_L535_); trivial. % 1.57/1.72 (* end of lemma zenon_L1595_ *) % 1.57/1.72 assert (zenon_L1596_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H108 zenon_Hac zenon_H1c4 zenon_H71 zenon_H21d zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H88 zenon_H86 zenon_H231 zenon_Haa zenon_H7 zenon_H1c0 zenon_H1be zenon_H2a zenon_H103 zenon_Hef zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L1583_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.72 apply (zenon_L96_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.72 apply (zenon_L4_); trivial. % 1.57/1.72 apply (zenon_L1595_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L1593_); trivial. % 1.57/1.72 apply (zenon_L1587_); trivial. % 1.57/1.72 (* end of lemma zenon_L1596_ *) % 1.57/1.72 assert (zenon_L1597_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H138 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H88 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H3c zenon_H40 zenon_H233 zenon_H71 zenon_H1dd zenon_H23b zenon_H7e zenon_Hc2 zenon_H80 zenon_Hac zenon_H124. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.72 apply (zenon_L623_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L155_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L543_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L80_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L76_); trivial. % 1.57/1.72 apply (zenon_L622_); trivial. % 1.57/1.72 (* end of lemma zenon_L1597_ *) % 1.57/1.72 assert (zenon_L1598_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H10d zenon_H4d zenon_H109 zenon_H10b zenon_H50 zenon_H54. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L93_); trivial. % 1.57/1.72 apply (zenon_L1555_); trivial. % 1.57/1.72 (* end of lemma zenon_L1598_ *) % 1.57/1.72 assert (zenon_L1599_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a797)) -> (c3_1 (a797)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H12 zenon_H65 zenon_H30 zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.57/1.72 apply (zenon_L28_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.57/1.72 apply (zenon_L59_); trivial. % 1.57/1.72 apply (zenon_L31_); trivial. % 1.57/1.72 (* end of lemma zenon_L1599_ *) % 1.57/1.72 assert (zenon_L1600_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.72 do 0 intro. intros zenon_Haa zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hd8 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H231 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L605_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L1599_); trivial. % 1.57/1.72 apply (zenon_L350_); trivial. % 1.57/1.72 (* end of lemma zenon_L1600_ *) % 1.57/1.72 assert (zenon_L1601_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a865))) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.57/1.72 do 0 intro. intros zenon_Hbf zenon_H21d zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12c zenon_H12b zenon_H12a zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H32 zenon_H31 zenon_H30 zenon_H231 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_Ha1 zenon_Ha3 zenon_Ha2 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H1be. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.72 apply (zenon_L286_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.72 apply (zenon_L1600_); trivial. % 1.57/1.72 exact (zenon_H1be zenon_H1bf). % 1.57/1.72 (* end of lemma zenon_L1601_ *) % 1.57/1.72 assert (zenon_L1602_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_Hac zenon_H80 zenon_H1c4 zenon_H1 zenon_H102 zenon_H71 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H103 zenon_H4d zenon_H50 zenon_H88 zenon_H86 zenon_Hd4 zenon_Hd2 zenon_Haa zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L1583_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.72 apply (zenon_L543_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L80_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.57/1.72 apply (zenon_L606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.57/1.72 apply (zenon_L222_); trivial. % 1.57/1.72 apply (zenon_L86_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.72 apply (zenon_L1585_); trivial. % 1.57/1.72 exact (zenon_H5 zenon_H6). % 1.57/1.72 (* end of lemma zenon_L1602_ *) % 1.57/1.72 assert (zenon_L1603_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_Hef zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H1 zenon_H5 zenon_H7 zenon_H133 zenon_H7e zenon_H71 zenon_H231 zenon_H1ae zenon_H1ad zenon_H1cd zenon_H1cc zenon_H1cb zenon_Haa zenon_H108 zenon_H11e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.72 apply (zenon_L1556_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.72 apply (zenon_L247_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L55_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L27_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L109_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.72 apply (zenon_L46_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.72 apply (zenon_L51_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.72 apply (zenon_L32_); trivial. % 1.57/1.72 apply (zenon_L361_); trivial. % 1.57/1.72 apply (zenon_L363_); trivial. % 1.57/1.72 (* end of lemma zenon_L1603_ *) % 1.57/1.72 assert (zenon_L1604_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H135 zenon_H124 zenon_H103 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H40 zenon_Hea zenon_He8 zenon_He4 zenon_He6 zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H1c2 zenon_H5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H2e zenon_H54. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L1583_); trivial. % 1.57/1.72 apply (zenon_L322_); trivial. % 1.57/1.72 (* end of lemma zenon_L1604_ *) % 1.57/1.72 assert (zenon_L1605_ : ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H235 zenon_H138 zenon_H103 zenon_He6 zenon_He8 zenon_Hea zenon_H1c4 zenon_H22d zenon_H22f zenon_H11e zenon_H1f2 zenon_H54 zenon_H8c zenon_H2e zenon_Hf zenon_H3c zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_Hc2 zenon_H7e zenon_H80 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124 zenon_Hef zenon_H40 zenon_H16f zenon_H2a zenon_H71 zenon_H210 zenon_H20f zenon_H161 zenon_H221 zenon_H55 zenon_H57 zenon_H59 zenon_H1 zenon_H5 zenon_H7 zenon_H108. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.72 apply (zenon_L315_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.72 apply (zenon_L1562_); trivial. % 1.57/1.72 apply (zenon_L348_); trivial. % 1.57/1.72 (* end of lemma zenon_L1605_ *) % 1.57/1.72 assert (zenon_L1606_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H231 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.57/1.72 apply (zenon_L84_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.72 apply (zenon_L64_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.72 apply (zenon_L998_); trivial. % 1.57/1.72 exact (zenon_H55 zenon_H56). % 1.57/1.72 apply (zenon_L108_); trivial. % 1.57/1.72 (* end of lemma zenon_L1606_ *) % 1.57/1.72 assert (zenon_L1607_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(c0_1 (a869))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.57/1.72 do 0 intro. intros zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H7e zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H44 zenon_H43 zenon_H42 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H5c zenon_Hf0 zenon_H5e zenon_H5d zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H12 zenon_He8. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.72 apply (zenon_L1606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.72 apply (zenon_L15_); trivial. % 1.57/1.72 exact (zenon_He8 zenon_He9). % 1.57/1.72 (* end of lemma zenon_L1607_ *) % 1.57/1.72 assert (zenon_L1608_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.57/1.72 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H5d zenon_H5e zenon_H5c zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_H43 zenon_H44 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H7e zenon_H2f0 zenon_H5. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.72 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.72 apply (zenon_L1607_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.72 apply (zenon_L1606_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.72 apply (zenon_L1554_); trivial. % 1.57/1.72 apply (zenon_L108_); trivial. % 1.57/1.72 exact (zenon_H5 zenon_H6). % 1.57/1.72 (* end of lemma zenon_L1608_ *) % 1.57/1.72 assert (zenon_L1609_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(c0_1 (a869))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H44 zenon_H43 zenon_H42 zenon_H55 zenon_H7e zenon_H5d zenon_H5e zenon_H5c zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.72 apply (zenon_L372_); trivial. % 1.57/1.72 apply (zenon_L1608_); trivial. % 1.57/1.72 (* end of lemma zenon_L1609_ *) % 1.57/1.72 assert (zenon_L1610_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_He4 zenon_H142 zenon_H108 zenon_H80 zenon_H7e zenon_H55 zenon_Hc2 zenon_H71 zenon_Hb2 zenon_Hb4 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H7 zenon_H5 zenon_H1 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H1f2 zenon_H11e. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L702_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.72 apply (zenon_L122_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.72 apply (zenon_L63_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L343_); trivial. % 1.57/1.72 apply (zenon_L1609_); trivial. % 1.57/1.72 (* end of lemma zenon_L1610_ *) % 1.57/1.72 assert (zenon_L1611_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H21d zenon_H1be zenon_H103 zenon_H133 zenon_H59 zenon_H57 zenon_He6 zenon_H102 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H231 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H124. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.72 apply (zenon_L1610_); trivial. % 1.57/1.72 apply (zenon_L309_); trivial. % 1.57/1.72 (* end of lemma zenon_L1611_ *) % 1.57/1.72 assert (zenon_L1612_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H138 zenon_H103 zenon_H59 zenon_H57 zenon_He6 zenon_He8 zenon_Hea zenon_H210 zenon_H20f zenon_H1c4 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H11e zenon_H1f2 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H40 zenon_H1 zenon_H5 zenon_H7 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H55 zenon_H7e zenon_H80 zenon_H108 zenon_H142 zenon_He4 zenon_Hd4 zenon_Hd2 zenon_H124. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.72 apply (zenon_L1562_); trivial. % 1.57/1.72 apply (zenon_L357_); trivial. % 1.57/1.72 (* end of lemma zenon_L1612_ *) % 1.57/1.72 assert (zenon_L1613_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.72 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.72 apply (zenon_L331_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.72 apply (zenon_L1554_); trivial. % 1.57/1.72 apply (zenon_L108_); trivial. % 1.57/1.72 (* end of lemma zenon_L1613_ *) % 1.57/1.72 assert (zenon_L1614_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H7e zenon_H55 zenon_H57 zenon_H59. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.72 apply (zenon_L26_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.72 apply (zenon_L219_); trivial. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.72 apply (zenon_L1613_); trivial. % 1.57/1.72 exact (zenon_H5 zenon_H6). % 1.57/1.72 (* end of lemma zenon_L1614_ *) % 1.57/1.72 assert (zenon_L1615_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H1c4 zenon_H5 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H57 zenon_H59 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.72 apply (zenon_L216_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.72 apply (zenon_L155_); trivial. % 1.57/1.72 apply (zenon_L1614_); trivial. % 1.57/1.72 (* end of lemma zenon_L1615_ *) % 1.57/1.72 assert (zenon_L1616_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.57/1.72 do 0 intro. intros zenon_H18a zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1be zenon_H1c0 zenon_H185 zenon_H86 zenon_Hd4 zenon_H124 zenon_H40 zenon_Hea zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.72 apply (zenon_L336_); trivial. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.72 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.72 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.72 apply (zenon_L333_); trivial. % 1.57/1.72 apply (zenon_L1615_); trivial. % 1.57/1.72 (* end of lemma zenon_L1616_ *) % 1.57/1.72 assert (zenon_L1617_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp4)) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H1d4 zenon_H18a zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1c0 zenon_H185 zenon_H86 zenon_Hd4 zenon_H124 zenon_H40 zenon_Hea zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H55 zenon_H57 zenon_H59 zenon_Hef zenon_H7e zenon_H2a zenon_H16f zenon_H163 zenon_H5 zenon_H1c4 zenon_H108 zenon_H18b zenon_H235 zenon_Haa zenon_He4 zenon_H16e zenon_H22d zenon_H22f zenon_H221 zenon_H1 zenon_H7 zenon_H1d9. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.73 apply (zenon_L1616_); trivial. % 1.57/1.73 apply (zenon_L360_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.73 apply (zenon_L224_); trivial. % 1.57/1.73 apply (zenon_L360_); trivial. % 1.57/1.73 (* end of lemma zenon_L1617_ *) % 1.57/1.73 assert (zenon_L1618_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_Hea zenon_He8 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H55 zenon_H57 zenon_H59. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L26_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.73 apply (zenon_L1613_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.73 apply (zenon_L15_); trivial. % 1.57/1.73 exact (zenon_He8 zenon_He9). % 1.57/1.73 (* end of lemma zenon_L1618_ *) % 1.57/1.73 assert (zenon_L1619_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_Hc2 zenon_H138. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_L818_); trivial. % 1.57/1.73 apply (zenon_L153_); trivial. % 1.57/1.73 (* end of lemma zenon_L1619_ *) % 1.57/1.73 assert (zenon_L1620_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L475_); trivial. % 1.57/1.73 apply (zenon_L445_); trivial. % 1.57/1.73 (* end of lemma zenon_L1620_ *) % 1.57/1.73 assert (zenon_L1621_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H138 zenon_H102 zenon_H1 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H147 zenon_H148 zenon_H161 zenon_H1d6 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_L1620_); trivial. % 1.57/1.73 apply (zenon_L226_); trivial. % 1.57/1.73 (* end of lemma zenon_L1621_ *) % 1.57/1.73 assert (zenon_L1622_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((hskp4)\/(hskp8))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H124 zenon_Haa zenon_He4 zenon_H16e zenon_H86 zenon_H185 zenon_H138 zenon_Hc2 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H40 zenon_H3c zenon_H57 zenon_H59 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H2e zenon_H1bc zenon_Hf zenon_H1d6 zenon_H102 zenon_H18b zenon_H155 zenon_H148 zenon_H147 zenon_H1 zenon_H55 zenon_H1d4. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.73 apply (zenon_L224_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_L818_); trivial. % 1.57/1.73 apply (zenon_L1621_); trivial. % 1.57/1.73 apply (zenon_L156_); trivial. % 1.57/1.73 (* end of lemma zenon_L1622_ *) % 1.57/1.73 assert (zenon_L1623_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(hskp14)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp19))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H7e zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H161 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H239 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac zenon_H138 zenon_H235. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.73 apply (zenon_L315_); trivial. % 1.57/1.73 apply (zenon_L615_); trivial. % 1.57/1.73 apply (zenon_L153_); trivial. % 1.57/1.73 (* end of lemma zenon_L1623_ *) % 1.57/1.73 assert (zenon_L1624_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_Had zenon_H80 zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H7e zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_Haa zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L55_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L27_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L343_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.73 apply (zenon_L621_); trivial. % 1.57/1.73 apply (zenon_L1608_); trivial. % 1.57/1.73 (* end of lemma zenon_L1624_ *) % 1.57/1.73 assert (zenon_L1625_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hac zenon_H1c4 zenon_H5 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1dd zenon_H23b zenon_H59 zenon_H57 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H103 zenon_H138. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_L392_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L27_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L343_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.73 apply (zenon_L383_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.73 apply (zenon_L1613_); trivial. % 1.57/1.73 exact (zenon_H5 zenon_H6). % 1.57/1.73 apply (zenon_L391_); trivial. % 1.57/1.73 (* end of lemma zenon_L1625_ *) % 1.57/1.73 assert (zenon_L1626_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.73 apply (zenon_L544_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.73 apply (zenon_L117_); trivial. % 1.57/1.73 exact (zenon_H55 zenon_H56). % 1.57/1.73 (* end of lemma zenon_L1626_ *) % 1.57/1.73 assert (zenon_L1627_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H13b zenon_H13a zenon_H139 zenon_H12 zenon_H55. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L331_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L1626_); trivial. % 1.57/1.73 (* end of lemma zenon_L1627_ *) % 1.57/1.73 assert (zenon_L1628_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H23b zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H2f0 zenon_H5. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.73 apply (zenon_L383_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.73 apply (zenon_L1627_); trivial. % 1.57/1.73 exact (zenon_H5 zenon_H6). % 1.57/1.73 (* end of lemma zenon_L1628_ *) % 1.57/1.73 assert (zenon_L1629_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H40 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L26_); trivial. % 1.57/1.73 apply (zenon_L1628_); trivial. % 1.57/1.73 (* end of lemma zenon_L1629_ *) % 1.57/1.73 assert (zenon_L1630_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H7e zenon_H138 zenon_H103 zenon_H54 zenon_H21d zenon_H1be zenon_Hd4 zenon_H55 zenon_H1ae zenon_H1ad zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hf zenon_H3c zenon_H40 zenon_H57 zenon_H59 zenon_H23b zenon_H1dd zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H5 zenon_H1c4 zenon_Hac zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_L1625_); trivial. % 1.57/1.73 apply (zenon_L1629_); trivial. % 1.57/1.73 (* end of lemma zenon_L1630_ *) % 1.57/1.73 assert (zenon_L1631_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H2a zenon_H7e zenon_Hef zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_L1082_); trivial. % 1.57/1.73 apply (zenon_L153_); trivial. % 1.57/1.73 (* end of lemma zenon_L1631_ *) % 1.57/1.73 assert (zenon_L1632_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_He4 zenon_H16e zenon_H1a2 zenon_H18a zenon_H185 zenon_H124 zenon_H86 zenon_H1e4 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hf zenon_H3c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H163 zenon_H40 zenon_H108 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138 zenon_H27f zenon_H88 zenon_H20f zenon_H210 zenon_H71 zenon_Hac zenon_H1d9. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.73 apply (zenon_L556_); trivial. % 1.57/1.73 apply (zenon_L627_); trivial. % 1.57/1.73 apply (zenon_L656_); trivial. % 1.57/1.73 (* end of lemma zenon_L1632_ *) % 1.57/1.73 assert (zenon_L1633_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H20c zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H16e zenon_He4. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L396_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L1357_); trivial. % 1.57/1.73 (* end of lemma zenon_L1633_ *) % 1.57/1.73 assert (zenon_L1634_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L421_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L108_); trivial. % 1.57/1.73 (* end of lemma zenon_L1634_ *) % 1.57/1.73 assert (zenon_L1635_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L122_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 (* end of lemma zenon_L1635_ *) % 1.57/1.73 assert (zenon_L1636_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a869))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H231 zenon_H5d zenon_H5e zenon_Hf0 zenon_H5c zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.57/1.73 apply (zenon_L84_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L141_); trivial. % 1.57/1.73 apply (zenon_L108_); trivial. % 1.57/1.73 (* end of lemma zenon_L1636_ *) % 1.57/1.73 assert (zenon_L1637_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H2f0 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H5c zenon_H5e zenon_H5d zenon_H231 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L1636_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L108_); trivial. % 1.57/1.73 (* end of lemma zenon_L1637_ *) % 1.57/1.73 assert (zenon_L1638_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_He8 zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H5. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.73 apply (zenon_L1637_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.73 apply (zenon_L85_); trivial. % 1.57/1.73 exact (zenon_He8 zenon_He9). % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.73 apply (zenon_L1637_); trivial. % 1.57/1.73 exact (zenon_H5 zenon_H6). % 1.57/1.73 (* end of lemma zenon_L1638_ *) % 1.57/1.73 assert (zenon_L1639_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H80 zenon_H1c4 zenon_H5 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_He8 zenon_Hea zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L122_); trivial. % 1.57/1.73 apply (zenon_L1638_); trivial. % 1.57/1.73 (* end of lemma zenon_L1639_ *) % 1.57/1.73 assert (zenon_L1640_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18c zenon_H18b zenon_H11e zenon_H133 zenon_H10b zenon_H264 zenon_H86 zenon_H185 zenon_H138 zenon_H165 zenon_H103 zenon_Hea zenon_H16e zenon_He6 zenon_H5 zenon_H1c4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H40 zenon_H3c zenon_Hf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H231 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_L419_); trivial. % 1.57/1.73 apply (zenon_L459_); trivial. % 1.57/1.73 apply (zenon_L1639_); trivial. % 1.57/1.73 apply (zenon_L449_); trivial. % 1.57/1.73 (* end of lemma zenon_L1640_ *) % 1.57/1.73 assert (zenon_L1641_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H5c zenon_H5e zenon_H5d zenon_H155 zenon_H125. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L421_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.73 apply (zenon_L421_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.73 apply (zenon_L461_); trivial. % 1.57/1.73 exact (zenon_H125 zenon_H126). % 1.57/1.73 (* end of lemma zenon_L1641_ *) % 1.57/1.73 assert (zenon_L1642_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.73 apply (zenon_L451_); trivial. % 1.57/1.73 apply (zenon_L1641_); trivial. % 1.57/1.73 (* end of lemma zenon_L1642_ *) % 1.57/1.73 assert (zenon_L1643_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H11e zenon_H133 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.73 apply (zenon_L1598_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L480_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 (* end of lemma zenon_L1643_ *) % 1.57/1.73 assert (zenon_L1644_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H54 zenon_H10b zenon_H10d zenon_H80 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H50 zenon_H4d zenon_H153 zenon_H155 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L586_); trivial. % 1.57/1.73 apply (zenon_L479_); trivial. % 1.57/1.73 apply (zenon_L1642_); trivial. % 1.57/1.73 apply (zenon_L215_); trivial. % 1.57/1.73 apply (zenon_L1643_); trivial. % 1.57/1.73 (* end of lemma zenon_L1644_ *) % 1.57/1.73 assert (zenon_L1645_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H133 zenon_H10b zenon_H10d zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2e zenon_H1bc zenon_H8c zenon_H86 zenon_H185 zenon_Hd4 zenon_H7e zenon_H124 zenon_H80 zenon_H127 zenon_H125 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_He6 zenon_He4 zenon_Hea zenon_H138. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_L470_); trivial. % 1.57/1.73 apply (zenon_L1644_); trivial. % 1.57/1.73 (* end of lemma zenon_L1645_ *) % 1.57/1.73 assert (zenon_L1646_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H2e zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H55 zenon_H71 zenon_H90 zenon_H8f zenon_H8e zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.73 apply (zenon_L46_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L201_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L108_); trivial. % 1.57/1.73 (* end of lemma zenon_L1646_ *) % 1.57/1.73 assert (zenon_L1647_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H11d zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L27_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L904_); trivial. % 1.57/1.73 apply (zenon_L1570_); trivial. % 1.57/1.73 (* end of lemma zenon_L1647_ *) % 1.57/1.73 assert (zenon_L1648_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L394_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.73 apply (zenon_L1554_); trivial. % 1.57/1.73 apply (zenon_L108_); trivial. % 1.57/1.73 (* end of lemma zenon_L1648_ *) % 1.57/1.73 assert (zenon_L1649_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> False). % 1.57/1.73 do 0 intro. intros zenon_Hec zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.73 apply (zenon_L109_); trivial. % 1.57/1.73 apply (zenon_L1648_); trivial. % 1.57/1.73 (* end of lemma zenon_L1649_ *) % 1.57/1.73 assert (zenon_L1650_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_Hef zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2a zenon_H27 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H12a zenon_H12b zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H133 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H161 zenon_H163 zenon_H2e. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.73 apply (zenon_L452_); trivial. % 1.57/1.73 apply (zenon_L1649_); trivial. % 1.57/1.73 (* end of lemma zenon_L1650_ *) % 1.57/1.73 assert (zenon_L1651_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H124 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1c0 zenon_H1be zenon_H7e zenon_H1ad zenon_H1ae zenon_Haa zenon_Hf zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.73 apply (zenon_L155_); trivial. % 1.57/1.73 apply (zenon_L1647_); trivial. % 1.57/1.73 (* end of lemma zenon_L1651_ *) % 1.57/1.73 assert (zenon_L1652_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H153 zenon_H155 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_L1198_); trivial. % 1.57/1.73 apply (zenon_L1635_); trivial. % 1.57/1.73 (* end of lemma zenon_L1652_ *) % 1.57/1.73 assert (zenon_L1653_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H18b zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_H103 zenon_Hea zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_He6 zenon_H5 zenon_H1c4 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H80 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_L428_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.73 apply (zenon_L418_); trivial. % 1.57/1.73 apply (zenon_L260_); trivial. % 1.57/1.73 apply (zenon_L1635_); trivial. % 1.57/1.73 apply (zenon_L1652_); trivial. % 1.57/1.73 (* end of lemma zenon_L1653_ *) % 1.57/1.73 assert (zenon_L1654_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H133 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_L216_); trivial. % 1.57/1.73 apply (zenon_L1643_); trivial. % 1.57/1.73 (* end of lemma zenon_L1654_ *) % 1.57/1.73 assert (zenon_L1655_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H11d zenon_H80 zenon_H54 zenon_Hc2 zenon_H71 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H125 zenon_H127 zenon_Hb4 zenon_H210 zenon_H20f zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_He8 zenon_Hea zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_He6 zenon_Hd9 zenon_Hd7 zenon_H5 zenon_H1c4 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L122_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L422_); trivial. % 1.57/1.73 apply (zenon_L1002_); trivial. % 1.57/1.73 (* end of lemma zenon_L1655_ *) % 1.57/1.73 assert (zenon_L1656_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L55_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 (* end of lemma zenon_L1656_ *) % 1.57/1.73 assert (zenon_L1657_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H88 zenon_H86 zenon_H84 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H12 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L1205_); trivial. % 1.57/1.73 apply (zenon_L22_); trivial. % 1.57/1.73 (* end of lemma zenon_L1657_ *) % 1.57/1.73 assert (zenon_L1658_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (~(c3_1 (a865))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H12 zenon_H20f zenon_H210 zenon_Ha2 zenon_Ha3 zenon_Ha1 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_He6 zenon_He4 zenon_Hd9 zenon_Hd7 zenon_H1be zenon_H21d. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L1207_); trivial. % 1.57/1.73 apply (zenon_L22_); trivial. % 1.57/1.73 (* end of lemma zenon_L1658_ *) % 1.57/1.73 assert (zenon_L1659_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H135 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H54 zenon_H50 zenon_H4d zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.73 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L1657_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L1658_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 (* end of lemma zenon_L1659_ *) % 1.57/1.73 assert (zenon_L1660_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (c0_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1ca zenon_He6 zenon_He4 zenon_H155 zenon_H153 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_Hac zenon_H80 zenon_H1dd zenon_H23b zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H40 zenon_H3c zenon_Hf zenon_H86 zenon_H88 zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H1ad zenon_H1ae zenon_H55 zenon_Hd4 zenon_H1be zenon_H21d zenon_H54 zenon_H103 zenon_H138. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.73 apply (zenon_L608_); trivial. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_L1656_); trivial. % 1.57/1.73 apply (zenon_L1659_); trivial. % 1.57/1.73 (* end of lemma zenon_L1660_ *) % 1.57/1.73 assert (zenon_L1661_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H5 zenon_H71 zenon_H210 zenon_H20f zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.73 apply (zenon_L475_); trivial. % 1.57/1.73 apply (zenon_L1184_); trivial. % 1.57/1.73 (* end of lemma zenon_L1661_ *) % 1.57/1.73 assert (zenon_L1662_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H8c zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H20f zenon_H210 zenon_H71 zenon_H5 zenon_H1c4 zenon_H80. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L476_); trivial. % 1.57/1.73 apply (zenon_L1661_); trivial. % 1.57/1.73 apply (zenon_L215_); trivial. % 1.57/1.73 (* end of lemma zenon_L1662_ *) % 1.57/1.73 assert (zenon_L1663_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.73 apply (zenon_L476_); trivial. % 1.57/1.73 apply (zenon_L1634_); trivial. % 1.57/1.73 (* end of lemma zenon_L1663_ *) % 1.57/1.73 assert (zenon_L1664_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.73 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hac zenon_H71 zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He6 zenon_He4 zenon_H1be zenon_H21d zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.73 apply (zenon_L1663_); trivial. % 1.57/1.73 apply (zenon_L1659_); trivial. % 1.57/1.73 (* end of lemma zenon_L1664_ *) % 1.57/1.73 assert (zenon_L1665_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp7)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H1e zenon_H20 zenon_H1f zenon_H12 zenon_H129 zenon_H125. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.73 apply (zenon_L396_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.73 apply (zenon_L461_); trivial. % 1.57/1.73 exact (zenon_H125 zenon_H126). % 1.57/1.73 (* end of lemma zenon_L1665_ *) % 1.57/1.73 assert (zenon_L1666_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp7)) -> False). % 1.57/1.73 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H246 zenon_H245 zenon_H244 zenon_H125. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.73 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.73 apply (zenon_L396_); trivial. % 1.57/1.73 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1665_); trivial. % 1.57/1.74 (* end of lemma zenon_L1666_ *) % 1.57/1.74 assert (zenon_L1667_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H40 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L8_); trivial. % 1.57/1.74 apply (zenon_L1666_); trivial. % 1.57/1.74 apply (zenon_L638_); trivial. % 1.57/1.74 (* end of lemma zenon_L1667_ *) % 1.57/1.74 assert (zenon_L1668_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1ca zenon_H264 zenon_H153 zenon_H155 zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142 zenon_H21d zenon_H1be zenon_He6 zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1667_); trivial. % 1.57/1.74 apply (zenon_L635_); trivial. % 1.57/1.74 apply (zenon_L1635_); trivial. % 1.57/1.74 (* end of lemma zenon_L1668_ *) % 1.57/1.74 assert (zenon_L1669_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L451_); trivial. % 1.57/1.74 apply (zenon_L1666_); trivial. % 1.57/1.74 (* end of lemma zenon_L1669_ *) % 1.57/1.74 assert (zenon_L1670_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H80 zenon_Hc2 zenon_H1e2 zenon_H165 zenon_H246 zenon_H244 zenon_H245 zenon_H15a zenon_H159 zenon_H158 zenon_H16e zenon_Haa zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L122_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_L58_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.74 apply (zenon_L161_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.74 apply (zenon_L66_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.74 apply (zenon_L1039_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.74 apply (zenon_L66_); trivial. % 1.57/1.74 apply (zenon_L148_); trivial. % 1.57/1.74 (* end of lemma zenon_L1670_ *) % 1.57/1.74 assert (zenon_L1671_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L108_); trivial. % 1.57/1.74 (* end of lemma zenon_L1671_ *) % 1.57/1.74 assert (zenon_L1672_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_Haa zenon_H16e zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H80 zenon_H124. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L1669_); trivial. % 1.57/1.74 apply (zenon_L1670_); trivial. % 1.57/1.74 apply (zenon_L1671_); trivial. % 1.57/1.74 (* end of lemma zenon_L1672_ *) % 1.57/1.74 assert (zenon_L1673_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1d9 zenon_He4 zenon_H16e zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1e4 zenon_H1e2 zenon_H124 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.57/1.74 apply (zenon_L644_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L1669_); trivial. % 1.57/1.74 apply (zenon_L235_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L1669_); trivial. % 1.57/1.74 apply (zenon_L504_); trivial. % 1.57/1.74 (* end of lemma zenon_L1673_ *) % 1.57/1.74 assert (zenon_L1674_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp15)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H20f zenon_H210 zenon_Hb4 zenon_He8. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.74 apply (zenon_L371_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.74 apply (zenon_L461_); trivial. % 1.57/1.74 exact (zenon_He8 zenon_He9). % 1.57/1.74 (* end of lemma zenon_L1674_ *) % 1.57/1.74 assert (zenon_L1675_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a867)) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp15)) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_H1e zenon_H20 zenon_H1f zenon_H12 zenon_H129 zenon_He8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.74 apply (zenon_L988_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.74 apply (zenon_L461_); trivial. % 1.57/1.74 exact (zenon_He8 zenon_He9). % 1.57/1.74 (* end of lemma zenon_L1675_ *) % 1.57/1.74 assert (zenon_L1676_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_H20f zenon_H210 zenon_H71 zenon_He8. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1675_); trivial. % 1.57/1.74 (* end of lemma zenon_L1676_ *) % 1.57/1.74 assert (zenon_L1677_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H2f0 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L416_); trivial. % 1.57/1.74 apply (zenon_L1676_); trivial. % 1.57/1.74 (* end of lemma zenon_L1677_ *) % 1.57/1.74 assert (zenon_L1678_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L416_); trivial. % 1.57/1.74 apply (zenon_L1674_); trivial. % 1.57/1.74 apply (zenon_L1677_); trivial. % 1.57/1.74 (* end of lemma zenon_L1678_ *) % 1.57/1.74 assert (zenon_L1679_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1ca zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H142 zenon_He4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_Haa zenon_H16e zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H1e2 zenon_H80 zenon_H124. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L1678_); trivial. % 1.57/1.74 apply (zenon_L1670_); trivial. % 1.57/1.74 apply (zenon_L1671_); trivial. % 1.57/1.74 (* end of lemma zenon_L1679_ *) % 1.57/1.74 assert (zenon_L1680_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L1669_); trivial. % 1.57/1.74 apply (zenon_L215_); trivial. % 1.57/1.74 apply (zenon_L1671_); trivial. % 1.57/1.74 (* end of lemma zenon_L1680_ *) % 1.57/1.74 assert (zenon_L1681_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_L216_); trivial. % 1.57/1.74 apply (zenon_L1671_); trivial. % 1.57/1.74 (* end of lemma zenon_L1681_ *) % 1.57/1.74 assert (zenon_L1682_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H187 zenon_H18b zenon_H185 zenon_H86 zenon_H7e zenon_H124 zenon_H80 zenon_H1e2 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H16e zenon_Haa zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_He4 zenon_H142 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H1ca. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_L1679_); trivial. % 1.57/1.74 apply (zenon_L1681_); trivial. % 1.57/1.74 (* end of lemma zenon_L1682_ *) % 1.57/1.74 assert (zenon_L1683_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H44 zenon_H43 zenon_H42 zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H55. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1368_); trivial. % 1.57/1.74 (* end of lemma zenon_L1683_ *) % 1.57/1.74 assert (zenon_L1684_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H5c zenon_H5d zenon_H5e zenon_Hb2 zenon_Hb4. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_L58_); trivial. % 1.57/1.74 apply (zenon_L1683_); trivial. % 1.57/1.74 (* end of lemma zenon_L1684_ *) % 1.57/1.74 assert (zenon_L1685_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H80 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb4 zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L122_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.74 apply (zenon_L63_); trivial. % 1.57/1.74 apply (zenon_L1684_); trivial. % 1.57/1.74 (* end of lemma zenon_L1685_ *) % 1.57/1.74 assert (zenon_L1686_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H135 zenon_H80 zenon_H54 zenon_H2f0 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H245 zenon_Hb4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H246 zenon_H244 zenon_He6 zenon_H1be zenon_H21d zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L122_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_L58_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.74 apply (zenon_L858_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.74 apply (zenon_L74_); trivial. % 1.57/1.74 exact (zenon_H1be zenon_H1bf). % 1.57/1.74 apply (zenon_L1684_); trivial. % 1.57/1.74 (* end of lemma zenon_L1686_ *) % 1.57/1.74 assert (zenon_L1687_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H138 zenon_He6 zenon_H1be zenon_H21d zenon_H142 zenon_He4 zenon_Hb2 zenon_H40 zenon_H3c zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H54 zenon_H80. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1685_); trivial. % 1.57/1.74 apply (zenon_L1686_); trivial. % 1.57/1.74 (* end of lemma zenon_L1687_ *) % 1.57/1.74 assert (zenon_L1688_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp28)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H2f0 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb zenon_Hd zenon_Hf. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L8_); trivial. % 1.57/1.74 apply (zenon_L1676_); trivial. % 1.57/1.74 (* end of lemma zenon_L1688_ *) % 1.57/1.74 assert (zenon_L1689_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_Hc2 zenon_H71 zenon_Hf zenon_Hd zenon_Hb zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.74 apply (zenon_L8_); trivial. % 1.57/1.74 apply (zenon_L1674_); trivial. % 1.57/1.74 apply (zenon_L1688_); trivial. % 1.57/1.74 (* end of lemma zenon_L1689_ *) % 1.57/1.74 assert (zenon_L1690_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H40 zenon_H3c zenon_H39 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H71 zenon_Hc2. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.74 apply (zenon_L1689_); trivial. % 1.57/1.74 apply (zenon_L17_); trivial. % 1.57/1.74 (* end of lemma zenon_L1690_ *) % 1.57/1.74 assert (zenon_L1691_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H54 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_Hc2 zenon_H71 zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H3c zenon_H40. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.74 apply (zenon_L1690_); trivial. % 1.57/1.74 apply (zenon_L559_); trivial. % 1.57/1.74 (* end of lemma zenon_L1691_ *) % 1.57/1.74 assert (zenon_L1692_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_Hc2 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1691_); trivial. % 1.57/1.74 apply (zenon_L377_); trivial. % 1.57/1.74 (* end of lemma zenon_L1692_ *) % 1.57/1.74 assert (zenon_L1693_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp8)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H178 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H55. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1626_); trivial. % 1.57/1.74 (* end of lemma zenon_L1693_ *) % 1.57/1.74 assert (zenon_L1694_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H18b zenon_H7e zenon_H54 zenon_H165 zenon_Hc2 zenon_H71 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H138. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_L1692_); trivial. % 1.57/1.74 apply (zenon_L1693_); trivial. % 1.57/1.74 (* end of lemma zenon_L1694_ *) % 1.57/1.74 assert (zenon_L1695_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H245 zenon_H244 zenon_H246 zenon_H165 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.74 apply (zenon_L161_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.74 apply (zenon_L544_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.57/1.74 apply (zenon_L1039_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.57/1.74 apply (zenon_L544_); trivial. % 1.57/1.74 apply (zenon_L148_); trivial. % 1.57/1.74 (* end of lemma zenon_L1695_ *) % 1.57/1.74 assert (zenon_L1696_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H80 zenon_Hc2 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Haa zenon_H16e zenon_H165 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_He4 zenon_H142. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L122_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.74 apply (zenon_L58_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.74 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1695_); trivial. % 1.57/1.74 (* end of lemma zenon_L1696_ *) % 1.57/1.74 assert (zenon_L1697_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H18c zenon_H18b zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_L1082_); trivial. % 1.57/1.74 apply (zenon_L1693_); trivial. % 1.57/1.74 (* end of lemma zenon_L1697_ *) % 1.57/1.74 assert (zenon_L1698_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18b zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.74 apply (zenon_L493_); trivial. % 1.57/1.74 apply (zenon_L1697_); trivial. % 1.57/1.74 (* end of lemma zenon_L1698_ *) % 1.57/1.74 assert (zenon_L1699_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.74 apply (zenon_L161_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.74 apply (zenon_L544_); trivial. % 1.57/1.74 apply (zenon_L229_); trivial. % 1.57/1.74 (* end of lemma zenon_L1699_ *) % 1.57/1.74 assert (zenon_L1700_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1e6 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L396_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1699_); trivial. % 1.57/1.74 (* end of lemma zenon_L1700_ *) % 1.57/1.74 assert (zenon_L1701_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H28e zenon_H28d zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_H103 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L663_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L108_); trivial. % 1.57/1.74 (* end of lemma zenon_L1701_ *) % 1.57/1.74 assert (zenon_L1702_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.74 apply (zenon_L1556_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L55_); trivial. % 1.57/1.74 apply (zenon_L1701_); trivial. % 1.57/1.74 (* end of lemma zenon_L1702_ *) % 1.57/1.74 assert (zenon_L1703_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (~(c3_1 (a828))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H22f. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L318_); trivial. % 1.57/1.74 apply (zenon_L1702_); trivial. % 1.57/1.74 (* end of lemma zenon_L1703_ *) % 1.57/1.74 assert (zenon_L1704_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H103 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H54. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L687_); trivial. % 1.57/1.74 apply (zenon_L1702_); trivial. % 1.57/1.74 (* end of lemma zenon_L1704_ *) % 1.57/1.74 assert (zenon_L1705_ : ((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H236 zenon_H138 zenon_He8 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H10b zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1703_); trivial. % 1.57/1.74 apply (zenon_L692_); trivial. % 1.57/1.74 (* end of lemma zenon_L1705_ *) % 1.57/1.74 assert (zenon_L1706_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L155_); trivial. % 1.57/1.74 apply (zenon_L1702_); trivial. % 1.57/1.74 (* end of lemma zenon_L1706_ *) % 1.57/1.74 assert (zenon_L1707_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H187 zenon_H18b zenon_H108 zenon_H7 zenon_H5 zenon_H2a zenon_Hef zenon_H138 zenon_Hea zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H102 zenon_H185 zenon_H86 zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e zenon_H124 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_L701_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1706_); trivial. % 1.57/1.74 apply (zenon_L700_); trivial. % 1.57/1.74 apply (zenon_L153_); trivial. % 1.57/1.74 (* end of lemma zenon_L1707_ *) % 1.57/1.74 assert (zenon_L1708_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H1c4 zenon_H155 zenon_H18a zenon_H133 zenon_H2e zenon_H8c zenon_H86 zenon_H185 zenon_H235 zenon_H138 zenon_H21d zenon_H1 zenon_H102 zenon_H22f zenon_H22d zenon_H80 zenon_Hd4 zenon_H7e zenon_H10b zenon_H10d zenon_H125 zenon_H127 zenon_H3c zenon_H50 zenon_H54 zenon_H103 zenon_H119 zenon_H11e zenon_H124 zenon_H59 zenon_H57 zenon_H55 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H221 zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_Hef zenon_Hea zenon_H20b. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_L673_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.74 apply (zenon_L659_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1703_); trivial. % 1.57/1.74 apply (zenon_L671_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_L684_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_L1704_); trivial. % 1.57/1.74 apply (zenon_L688_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.74 apply (zenon_L694_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.74 apply (zenon_L659_); trivial. % 1.57/1.74 apply (zenon_L1705_); trivial. % 1.57/1.74 apply (zenon_L153_); trivial. % 1.57/1.74 apply (zenon_L1707_); trivial. % 1.57/1.74 apply (zenon_L717_); trivial. % 1.57/1.74 (* end of lemma zenon_L1708_ *) % 1.57/1.74 assert (zenon_L1709_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> False). % 1.57/1.74 do 0 intro. intros zenon_H7e zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H5 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.74 apply (zenon_L544_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.74 apply (zenon_L674_); trivial. % 1.57/1.74 exact (zenon_H55 zenon_H56). % 1.57/1.74 (* end of lemma zenon_L1709_ *) % 1.57/1.74 assert (zenon_L1710_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H103 zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hf zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.74 apply (zenon_L282_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L55_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.74 apply (zenon_L731_); trivial. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.74 apply (zenon_L663_); trivial. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.74 apply (zenon_L1554_); trivial. % 1.57/1.74 apply (zenon_L1709_); trivial. % 1.57/1.74 (* end of lemma zenon_L1710_ *) % 1.57/1.74 assert (zenon_L1711_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H1c4 zenon_H155 zenon_H18b zenon_H108 zenon_H7 zenon_H2a zenon_Hef zenon_H124 zenon_H11e zenon_H2f0 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H103 zenon_Hf zenon_H50 zenon_H10d zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H207 zenon_H209 zenon_H80 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H8c zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2e zenon_H54 zenon_H21d zenon_Hea zenon_H1 zenon_H102 zenon_H138 zenon_H20b. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.74 apply (zenon_L687_); trivial. % 1.57/1.74 apply (zenon_L1710_); trivial. % 1.57/1.74 apply (zenon_L749_); trivial. % 1.57/1.74 apply (zenon_L153_); trivial. % 1.57/1.74 apply (zenon_L751_); trivial. % 1.57/1.74 apply (zenon_L754_); trivial. % 1.57/1.74 (* end of lemma zenon_L1711_ *) % 1.57/1.74 assert (zenon_L1712_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.74 apply (zenon_L476_); trivial. % 1.57/1.74 apply (zenon_L1555_); trivial. % 1.57/1.74 (* end of lemma zenon_L1712_ *) % 1.57/1.74 assert (zenon_L1713_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.74 apply (zenon_L1712_); trivial. % 1.57/1.74 apply (zenon_L255_); trivial. % 1.57/1.74 (* end of lemma zenon_L1713_ *) % 1.57/1.74 assert (zenon_L1714_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.74 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.74 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.74 apply (zenon_L1712_); trivial. % 1.57/1.74 apply (zenon_L809_); trivial. % 1.57/1.74 (* end of lemma zenon_L1714_ *) % 1.57/1.74 assert (zenon_L1715_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H80 zenon_H102 zenon_H1 zenon_H40 zenon_H10d zenon_H4d zenon_H10b zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L256_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_L96_); trivial. % 1.57/1.75 apply (zenon_L809_); trivial. % 1.57/1.75 (* end of lemma zenon_L1715_ *) % 1.57/1.75 assert (zenon_L1716_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H102 zenon_H1 zenon_H10b zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H124. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L1713_); trivial. % 1.57/1.75 apply (zenon_L1714_); trivial. % 1.57/1.75 apply (zenon_L1715_); trivial. % 1.57/1.75 (* end of lemma zenon_L1716_ *) % 1.57/1.75 assert (zenon_L1717_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H21d zenon_H1be zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H103 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H54 zenon_H50 zenon_H10b zenon_H4d zenon_H10d zenon_H40 zenon_H1 zenon_H102 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L155_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_L96_); trivial. % 1.57/1.75 apply (zenon_L806_); trivial. % 1.57/1.75 (* end of lemma zenon_L1717_ *) % 1.57/1.75 assert (zenon_L1718_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((hskp4)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp14)\/(hskp18))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp2)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c1_1 X68)\/((c2_1 X68)\/(c3_1 X68)))))\/((hskp20)\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a828)))/\((~(c2_1 (a828)))/\(~(c3_1 (a828))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1ac zenon_H1d9 zenon_H165 zenon_H155 zenon_H1c2 zenon_H1c4 zenon_H18a zenon_H185 zenon_H86 zenon_H133 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H108 zenon_H7 zenon_H5 zenon_H1 zenon_H59 zenon_H57 zenon_H55 zenon_H221 zenon_H20f zenon_H210 zenon_H71 zenon_H2a zenon_H16f zenon_H40 zenon_Hef zenon_H124 zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H54 zenon_H50 zenon_H3c zenon_H127 zenon_H125 zenon_H10d zenon_H10b zenon_H7e zenon_Hd4 zenon_H80 zenon_H22d zenon_H22f zenon_H102 zenon_Hea zenon_H21d zenon_H138 zenon_H235 zenon_H18b zenon_H20b. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_L782_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.75 apply (zenon_L315_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L1703_); trivial. % 1.57/1.75 apply (zenon_L781_); trivial. % 1.57/1.75 apply (zenon_L153_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_L783_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L1706_); trivial. % 1.57/1.75 apply (zenon_L1717_); trivial. % 1.57/1.75 apply (zenon_L153_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_L784_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.57/1.75 apply (zenon_L315_); trivial. % 1.57/1.75 apply (zenon_L1705_); trivial. % 1.57/1.75 apply (zenon_L153_); trivial. % 1.57/1.75 apply (zenon_L1707_); trivial. % 1.57/1.75 apply (zenon_L787_); trivial. % 1.57/1.75 (* end of lemma zenon_L1718_ *) % 1.57/1.75 assert (zenon_L1719_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.57/1.75 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_Hea zenon_H55 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H42 zenon_H43 zenon_H44 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H7e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H231 zenon_H210 zenon_H20f zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H5. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.75 apply (zenon_L1607_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L1606_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_L1368_); trivial. % 1.57/1.75 exact (zenon_H5 zenon_H6). % 1.57/1.75 (* end of lemma zenon_L1719_ *) % 1.57/1.75 assert (zenon_L1720_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hd zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H3c zenon_H40. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_L63_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.75 apply (zenon_L758_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.75 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.75 apply (zenon_L58_); trivial. % 1.57/1.75 apply (zenon_L1719_); trivial. % 1.57/1.75 (* end of lemma zenon_L1720_ *) % 1.57/1.75 assert (zenon_L1721_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1ca zenon_H133 zenon_H231 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H124 zenon_H7e zenon_Hd4 zenon_H55 zenon_H57 zenon_H59 zenon_Hac zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e zenon_Hea zenon_He8 zenon_H138. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_L801_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L799_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.75 apply (zenon_L55_); trivial. % 1.57/1.75 apply (zenon_L1720_); trivial. % 1.57/1.75 apply (zenon_L377_); trivial. % 1.57/1.75 (* end of lemma zenon_L1721_ *) % 1.57/1.75 assert (zenon_L1722_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H80 zenon_H102 zenon_H1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H10d zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_Hac. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_L833_); trivial. % 1.57/1.75 apply (zenon_L809_); trivial. % 1.57/1.75 (* end of lemma zenon_L1722_ *) % 1.57/1.75 assert (zenon_L1723_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_Hac zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_H10d zenon_H1 zenon_H102 zenon_H80 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L834_); trivial. % 1.57/1.75 apply (zenon_L1722_); trivial. % 1.57/1.75 (* end of lemma zenon_L1723_ *) % 1.57/1.75 assert (zenon_L1724_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_Hac zenon_Hd zenon_Hf zenon_H3c zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H8c zenon_H2e zenon_Hc2 zenon_H80 zenon_H1f2 zenon_H11e. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L799_); trivial. % 1.57/1.75 apply (zenon_L1714_); trivial. % 1.57/1.75 (* end of lemma zenon_L1724_ *) % 1.57/1.75 assert (zenon_L1725_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.75 apply (zenon_L758_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.75 apply (zenon_L705_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L331_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_L1709_); trivial. % 1.57/1.75 exact (zenon_H5 zenon_H6). % 1.57/1.75 (* end of lemma zenon_L1725_ *) % 1.57/1.75 assert (zenon_L1726_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H138 zenon_Hc2 zenon_H103 zenon_Hb4 zenon_Hb2 zenon_He8 zenon_Hea zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_L27_); trivial. % 1.57/1.75 apply (zenon_L1725_); trivial. % 1.57/1.75 apply (zenon_L377_); trivial. % 1.57/1.75 (* end of lemma zenon_L1726_ *) % 1.57/1.75 assert (zenon_L1727_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_Had zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.57/1.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_L796_); trivial. % 1.57/1.75 apply (zenon_L1725_); trivial. % 1.57/1.75 (* end of lemma zenon_L1727_ *) % 1.57/1.75 assert (zenon_L1728_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1c2 zenon_H5 zenon_H55 zenon_H7e zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hac. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_L790_); trivial. % 1.57/1.75 apply (zenon_L1725_); trivial. % 1.57/1.75 apply (zenon_L1727_); trivial. % 1.57/1.75 apply (zenon_L255_); trivial. % 1.57/1.75 (* end of lemma zenon_L1728_ *) % 1.57/1.75 assert (zenon_L1729_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H2f0 zenon_H55 zenon_H139 zenon_H13a zenon_H13b zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L823_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_L108_); trivial. % 1.57/1.75 (* end of lemma zenon_L1729_ *) % 1.57/1.75 assert (zenon_L1730_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H1a4 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1c2 zenon_H5 zenon_H55 zenon_H7e zenon_H10b zenon_H88 zenon_H86 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H20f zenon_H210 zenon_H71 zenon_H1be zenon_H21d zenon_H40 zenon_Hac zenon_Hd4 zenon_H124. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L1728_); trivial. % 1.57/1.75 apply (zenon_L215_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L1728_); trivial. % 1.57/1.75 apply (zenon_L1729_); trivial. % 1.57/1.75 (* end of lemma zenon_L1730_ *) % 1.57/1.75 assert (zenon_L1731_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_L1712_); trivial. % 1.57/1.75 apply (zenon_L766_); trivial. % 1.57/1.75 (* end of lemma zenon_L1731_ *) % 1.57/1.75 assert (zenon_L1732_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H88 zenon_H86 zenon_Hd zenon_Hf zenon_H3c zenon_H40 zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_Hac. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.57/1.75 apply (zenon_L803_); trivial. % 1.57/1.75 apply (zenon_L1727_); trivial. % 1.57/1.75 apply (zenon_L766_); trivial. % 1.57/1.75 (* end of lemma zenon_L1732_ *) % 1.57/1.75 assert (zenon_L1733_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_L600_); trivial. % 1.57/1.75 apply (zenon_L1725_); trivial. % 1.57/1.75 apply (zenon_L766_); trivial. % 1.57/1.75 (* end of lemma zenon_L1733_ *) % 1.57/1.75 assert (zenon_L1734_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_Hc2 zenon_Hb4 zenon_He8 zenon_Hea zenon_Hac zenon_H40 zenon_H21d zenon_H1be zenon_H71 zenon_H210 zenon_H20f zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_H10b zenon_H7e zenon_H55 zenon_H5 zenon_H1c2 zenon_H133 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L1728_); trivial. % 1.57/1.75 apply (zenon_L1733_); trivial. % 1.57/1.75 (* end of lemma zenon_L1734_ *) % 1.57/1.75 assert (zenon_L1735_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H187 zenon_H18b zenon_H7e zenon_H55 zenon_H88 zenon_H1c4 zenon_Hac zenon_H124 zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H86 zenon_H185 zenon_Hea zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H71 zenon_H103 zenon_Hc2 zenon_H138. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L978_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L155_); trivial. % 1.57/1.75 apply (zenon_L1022_); trivial. % 1.57/1.75 apply (zenon_L828_); trivial. % 1.57/1.75 (* end of lemma zenon_L1735_ *) % 1.57/1.75 assert (zenon_L1736_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H138 zenon_H102 zenon_H1 zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L1667_); trivial. % 1.57/1.75 apply (zenon_L408_); trivial. % 1.57/1.75 (* end of lemma zenon_L1736_ *) % 1.57/1.75 assert (zenon_L1737_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H2f2 zenon_H209 zenon_H207 zenon_H40 zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H2f0 zenon_H2e zenon_H1 zenon_H102 zenon_H138. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.57/1.75 apply (zenon_L1736_); trivial. % 1.57/1.75 apply (zenon_L646_); trivial. % 1.57/1.75 (* end of lemma zenon_L1737_ *) % 1.57/1.75 assert (zenon_L1738_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> False). % 1.57/1.75 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_Hb zenon_H12 zenon_H264 zenon_H25a zenon_H258 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H55. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.75 apply (zenon_L822_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.75 apply (zenon_L527_); trivial. % 1.57/1.75 exact (zenon_H55 zenon_H56). % 1.57/1.75 (* end of lemma zenon_L1738_ *) % 1.57/1.75 assert (zenon_L1739_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp28)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.75 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_Hb zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L1738_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_L108_); trivial. % 1.57/1.75 (* end of lemma zenon_L1739_ *) % 1.57/1.75 assert (zenon_L1740_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_Hd zenon_H3c zenon_H40. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.75 apply (zenon_L1739_); trivial. % 1.57/1.75 apply (zenon_L17_); trivial. % 1.57/1.75 apply (zenon_L707_); trivial. % 1.57/1.75 (* end of lemma zenon_L1740_ *) % 1.57/1.75 assert (zenon_L1741_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H124 zenon_H54 zenon_H165 zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_Hd zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L155_); trivial. % 1.57/1.75 apply (zenon_L1740_); trivial. % 1.57/1.75 (* end of lemma zenon_L1741_ *) % 1.57/1.75 assert (zenon_L1742_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H187 zenon_H18b zenon_H11e zenon_H231 zenon_H10b zenon_H138 zenon_H124 zenon_Hd4 zenon_H119 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H7e zenon_H86 zenon_H185 zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H165 zenon_H54 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H1ca. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.75 apply (zenon_L868_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L1741_); trivial. % 1.57/1.75 apply (zenon_L891_); trivial. % 1.57/1.75 apply (zenon_L878_); trivial. % 1.57/1.75 (* end of lemma zenon_L1742_ *) % 1.57/1.75 assert (zenon_L1743_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1ac zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H133 zenon_H233 zenon_H127 zenon_H125 zenon_Hc2 zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1d6 zenon_H1ca zenon_H11e zenon_H27f zenon_H231 zenon_H10b zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H18b zenon_H18a zenon_H1d9. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.75 apply (zenon_L879_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.75 apply (zenon_L865_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.75 apply (zenon_L867_); trivial. % 1.57/1.75 apply (zenon_L1742_); trivial. % 1.57/1.75 (* end of lemma zenon_L1743_ *) % 1.57/1.75 assert (zenon_L1744_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.75 apply (zenon_L896_); trivial. % 1.57/1.75 apply (zenon_L1634_); trivial. % 1.57/1.75 (* end of lemma zenon_L1744_ *) % 1.57/1.75 assert (zenon_L1745_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1a2 zenon_H7e zenon_H55 zenon_H119 zenon_H86 zenon_H1e4 zenon_Haa zenon_H1be zenon_H21d zenon_H192 zenon_H191 zenon_H190 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hc2 zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.75 apply (zenon_L905_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L897_); trivial. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.75 apply (zenon_L1744_); trivial. % 1.57/1.75 apply (zenon_L900_); trivial. % 1.57/1.75 (* end of lemma zenon_L1745_ *) % 1.57/1.75 assert (zenon_L1746_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H2e zenon_H1bc zenon_H12a zenon_H12b zenon_H12c zenon_Hb zenon_H133 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H86 zenon_H185. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.75 apply (zenon_L451_); trivial. % 1.57/1.75 apply (zenon_L903_); trivial. % 1.57/1.75 (* end of lemma zenon_L1746_ *) % 1.57/1.75 assert (zenon_L1747_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H133 zenon_H12c zenon_H12b zenon_H12a zenon_H1bc zenon_H2e. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.75 apply (zenon_L1746_); trivial. % 1.57/1.75 apply (zenon_L866_); trivial. % 1.57/1.75 (* end of lemma zenon_L1747_ *) % 1.57/1.75 assert (zenon_L1748_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.75 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H5 zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L705_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_L108_); trivial. % 1.57/1.75 (* end of lemma zenon_L1748_ *) % 1.57/1.75 assert (zenon_L1749_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.75 apply (zenon_L1739_); trivial. % 1.57/1.75 apply (zenon_L1748_); trivial. % 1.57/1.75 (* end of lemma zenon_L1749_ *) % 1.57/1.75 assert (zenon_L1750_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.75 apply (zenon_L1747_); trivial. % 1.57/1.75 apply (zenon_L1749_); trivial. % 1.57/1.75 (* end of lemma zenon_L1750_ *) % 1.57/1.75 assert (zenon_L1751_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp7)) -> False). % 1.57/1.75 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H127 zenon_H153 zenon_H147 zenon_H148 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H32 zenon_H31 zenon_H30 zenon_H5 zenon_H155 zenon_H125. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.75 apply (zenon_L705_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.75 apply (zenon_L1554_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.57/1.75 apply (zenon_L705_); trivial. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.57/1.75 apply (zenon_L461_); trivial. % 1.57/1.75 exact (zenon_H125 zenon_H126). % 1.57/1.75 (* end of lemma zenon_L1751_ *) % 1.57/1.75 assert (zenon_L1752_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.57/1.75 do 0 intro. intros zenon_H3b zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.57/1.75 apply (zenon_L46_); trivial. % 1.57/1.75 apply (zenon_L1751_); trivial. % 1.57/1.75 (* end of lemma zenon_L1752_ *) % 1.57/1.75 assert (zenon_L1753_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L520_); trivial. % 1.57/1.76 apply (zenon_L1752_); trivial. % 1.57/1.76 (* end of lemma zenon_L1753_ *) % 1.57/1.76 assert (zenon_L1754_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.76 apply (zenon_L216_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L155_); trivial. % 1.57/1.76 apply (zenon_L1729_); trivial. % 1.57/1.76 (* end of lemma zenon_L1754_ *) % 1.57/1.76 assert (zenon_L1755_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H54 zenon_H165 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L971_); trivial. % 1.57/1.76 apply (zenon_L1740_); trivial. % 1.57/1.76 (* end of lemma zenon_L1755_ *) % 1.57/1.76 assert (zenon_L1756_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1d6 zenon_H161 zenon_H5 zenon_H1c2 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L1739_); trivial. % 1.57/1.76 apply (zenon_L866_); trivial. % 1.57/1.76 (* end of lemma zenon_L1756_ *) % 1.57/1.76 assert (zenon_L1757_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hc2 zenon_H125 zenon_H127 zenon_Hea zenon_He8 zenon_H233 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H3c zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.76 apply (zenon_L1741_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L155_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L1739_); trivial. % 1.57/1.76 apply (zenon_L890_); trivial. % 1.57/1.76 (* end of lemma zenon_L1757_ *) % 1.57/1.76 assert (zenon_L1758_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H124 zenon_Hd2 zenon_Hd4 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H7e zenon_H55 zenon_H2a zenon_H10b zenon_H54 zenon_Hef zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1a2 zenon_H11e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_L590_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.76 apply (zenon_L587_); trivial. % 1.57/1.76 apply (zenon_L719_); trivial. % 1.57/1.76 apply (zenon_L215_); trivial. % 1.57/1.76 (* end of lemma zenon_L1758_ *) % 1.57/1.76 assert (zenon_L1759_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L91_); trivial. % 1.57/1.76 apply (zenon_L866_); trivial. % 1.57/1.76 (* end of lemma zenon_L1759_ *) % 1.57/1.76 assert (zenon_L1760_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H10b zenon_H109 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_L1759_); trivial. % 1.57/1.76 apply (zenon_L22_); trivial. % 1.57/1.76 (* end of lemma zenon_L1760_ *) % 1.57/1.76 assert (zenon_L1761_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.76 apply (zenon_L1760_); trivial. % 1.57/1.76 apply (zenon_L1555_); trivial. % 1.57/1.76 apply (zenon_L846_); trivial. % 1.57/1.76 (* end of lemma zenon_L1761_ *) % 1.57/1.76 assert (zenon_L1762_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L1747_); trivial. % 1.57/1.76 apply (zenon_L1761_); trivial. % 1.57/1.76 (* end of lemma zenon_L1762_ *) % 1.57/1.76 assert (zenon_L1763_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H133 zenon_H1d6 zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hef zenon_H54 zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_Hd4 zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.76 apply (zenon_L1758_); trivial. % 1.57/1.76 apply (zenon_L1762_); trivial. % 1.57/1.76 (* end of lemma zenon_L1763_ *) % 1.57/1.76 assert (zenon_L1764_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H81 zenon_H54 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H7e zenon_H4d zenon_H10d zenon_H10b zenon_H109 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_L727_); trivial. % 1.57/1.76 apply (zenon_L660_); trivial. % 1.57/1.76 (* end of lemma zenon_L1764_ *) % 1.57/1.76 assert (zenon_L1765_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H161 zenon_H1d6 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.76 apply (zenon_L1760_); trivial. % 1.57/1.76 apply (zenon_L1764_); trivial. % 1.57/1.76 apply (zenon_L846_); trivial. % 1.57/1.76 (* end of lemma zenon_L1765_ *) % 1.57/1.76 assert (zenon_L1766_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_H2e zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L907_); trivial. % 1.57/1.76 apply (zenon_L1765_); trivial. % 1.57/1.76 (* end of lemma zenon_L1766_ *) % 1.57/1.76 assert (zenon_L1767_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp29)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_Hb0 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H233 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.76 apply (zenon_L161_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.76 apply (zenon_L325_); trivial. % 1.57/1.76 apply (zenon_L229_); trivial. % 1.57/1.76 (* end of lemma zenon_L1767_ *) % 1.57/1.76 assert (zenon_L1768_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.57/1.76 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H55 zenon_Hd2 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd4 zenon_H50 zenon_H4b zenon_H4d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.76 apply (zenon_L161_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.76 apply (zenon_L66_); trivial. % 1.57/1.76 apply (zenon_L1033_); trivial. % 1.57/1.76 (* end of lemma zenon_L1768_ *) % 1.57/1.76 assert (zenon_L1769_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_Hc2 zenon_H4b zenon_H4d zenon_H50 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.76 apply (zenon_L1767_); trivial. % 1.57/1.76 apply (zenon_L1768_); trivial. % 1.57/1.76 (* end of lemma zenon_L1769_ *) % 1.57/1.76 assert (zenon_L1770_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_Hc2 zenon_H4d zenon_H50 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H71 zenon_H10b zenon_H10d zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L155_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.76 apply (zenon_L1769_); trivial. % 1.57/1.76 apply (zenon_L1764_); trivial. % 1.57/1.76 apply (zenon_L846_); trivial. % 1.57/1.76 (* end of lemma zenon_L1770_ *) % 1.57/1.76 assert (zenon_L1771_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.57/1.76 apply (zenon_L442_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.57/1.76 apply (zenon_L64_); trivial. % 1.57/1.76 apply (zenon_L108_); trivial. % 1.57/1.76 (* end of lemma zenon_L1771_ *) % 1.57/1.76 assert (zenon_L1772_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H27f zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_H65 zenon_Hc5 zenon_Hc6 zenon_H30 zenon_H31 zenon_H32 zenon_H231 zenon_H119 zenon_H258 zenon_H25a zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H12 zenon_H4d. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.57/1.76 apply (zenon_L136_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.57/1.76 apply (zenon_L869_); trivial. % 1.57/1.76 apply (zenon_L1771_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.57/1.76 apply (zenon_L136_); trivial. % 1.57/1.76 exact (zenon_H4d zenon_H4e). % 1.57/1.76 (* end of lemma zenon_L1772_ *) % 1.57/1.76 assert (zenon_L1773_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H264 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H4d zenon_H27f zenon_H192 zenon_H191 zenon_H190 zenon_H10b zenon_H1c2 zenon_H5 zenon_H54. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L91_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.57/1.76 apply (zenon_L161_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.57/1.76 apply (zenon_L1772_); trivial. % 1.57/1.76 apply (zenon_L229_); trivial. % 1.57/1.76 apply (zenon_L707_); trivial. % 1.57/1.76 apply (zenon_L846_); trivial. % 1.57/1.76 (* end of lemma zenon_L1773_ *) % 1.57/1.76 assert (zenon_L1774_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H2f0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.76 apply (zenon_L950_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.76 apply (zenon_L1554_); trivial. % 1.57/1.76 apply (zenon_L108_); trivial. % 1.57/1.76 (* end of lemma zenon_L1774_ *) % 1.57/1.76 assert (zenon_L1775_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L1747_); trivial. % 1.57/1.76 apply (zenon_L1774_); trivial. % 1.57/1.76 (* end of lemma zenon_L1775_ *) % 1.57/1.76 assert (zenon_L1776_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H1d6 zenon_H11e zenon_H1a2 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hef zenon_H54 zenon_H10b zenon_H2a zenon_H55 zenon_H7e zenon_H2e zenon_H1bc zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H190 zenon_H191 zenon_H192 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108 zenon_Hd4 zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.76 apply (zenon_L1758_); trivial. % 1.57/1.76 apply (zenon_L1775_); trivial. % 1.57/1.76 (* end of lemma zenon_L1776_ *) % 1.57/1.76 assert (zenon_L1777_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp11)) -> (~(hskp26)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H4d zenon_H4b zenon_H258 zenon_H25a zenon_H50 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H11a ]. % 1.57/1.76 apply (zenon_L243_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hd6 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ]. % 1.57/1.76 apply (zenon_L414_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 1.57/1.76 exact (zenon_H4b zenon_H4c). % 1.57/1.76 exact (zenon_H4d zenon_H4e). % 1.57/1.76 apply (zenon_L657_); trivial. % 1.57/1.76 (* end of lemma zenon_L1777_ *) % 1.57/1.76 assert (zenon_L1778_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H165 zenon_H129 zenon_H264 zenon_H119 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H25a zenon_H258 zenon_H12 zenon_H28c zenon_H28d zenon_H28e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.57/1.76 apply (zenon_L403_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.57/1.76 apply (zenon_L957_); trivial. % 1.57/1.76 apply (zenon_L958_); trivial. % 1.57/1.76 (* end of lemma zenon_L1778_ *) % 1.57/1.76 assert (zenon_L1779_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H20c zenon_H1ac zenon_H80 zenon_H2f0 zenon_H264 zenon_H165 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H50 zenon_H25a zenon_H258 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H11e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.76 apply (zenon_L1777_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.76 apply (zenon_L94_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.76 apply (zenon_L1554_); trivial. % 1.57/1.76 apply (zenon_L1778_); trivial. % 1.57/1.76 apply (zenon_L733_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.76 apply (zenon_L735_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.76 apply (zenon_L1554_); trivial. % 1.57/1.76 apply (zenon_L1778_); trivial. % 1.57/1.76 (* end of lemma zenon_L1779_ *) % 1.57/1.76 assert (zenon_L1780_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_Hd8 zenon_H258 zenon_H25a zenon_H264 zenon_Hb6 zenon_Hb8 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_Hea zenon_H32 zenon_H31 zenon_H30 zenon_He8 zenon_H165 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.57/1.76 apply (zenon_L887_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.57/1.76 apply (zenon_L1554_); trivial. % 1.57/1.76 apply (zenon_L108_); trivial. % 1.57/1.76 (* end of lemma zenon_L1780_ *) % 1.57/1.76 assert (zenon_L1781_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H1c4 zenon_H5 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H165 zenon_H1be zenon_H21d zenon_H7e zenon_H55 zenon_H158 zenon_H159 zenon_H15a zenon_H264 zenon_H25a zenon_H258 zenon_Hea zenon_He8 zenon_Hd9 zenon_Hd7 zenon_H119 zenon_H17c zenon_H17d zenon_H17e zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H233. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.57/1.76 apply (zenon_L881_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.57/1.76 apply (zenon_L923_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.57/1.76 apply (zenon_L887_); trivial. % 1.57/1.76 exact (zenon_H1be zenon_H1bf). % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.57/1.76 apply (zenon_L1780_); trivial. % 1.57/1.76 exact (zenon_H5 zenon_H6). % 1.57/1.76 (* end of lemma zenon_L1781_ *) % 1.57/1.76 assert (zenon_L1782_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_Hc2 zenon_H1c4 zenon_H1be zenon_H21d zenon_Hea zenon_He8 zenon_H233 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H40 zenon_H3c zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H158 zenon_H159 zenon_H15a zenon_H1c2 zenon_H5 zenon_H165 zenon_H54 zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.57/1.76 apply (zenon_L1741_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L155_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L531_); trivial. % 1.57/1.76 apply (zenon_L1781_); trivial. % 1.57/1.76 (* end of lemma zenon_L1782_ *) % 1.57/1.76 assert (zenon_L1783_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1ac zenon_H20b zenon_H103 zenon_H1d6 zenon_H1ca zenon_Hc2 zenon_H1c4 zenon_H21d zenon_H233 zenon_H1bc zenon_H133 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54 zenon_H165 zenon_H3c zenon_H185 zenon_H86 zenon_H7e zenon_Hea zenon_H119 zenon_Hd4 zenon_H124 zenon_H138 zenon_H10b zenon_H231 zenon_H11e zenon_H18b zenon_H18a zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H27f zenon_H1d9. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.57/1.76 apply (zenon_L961_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.76 apply (zenon_L865_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.76 apply (zenon_L867_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.76 apply (zenon_L868_); trivial. % 1.57/1.76 apply (zenon_L1782_); trivial. % 1.57/1.76 apply (zenon_L878_); trivial. % 1.57/1.76 apply (zenon_L751_); trivial. % 1.57/1.76 (* end of lemma zenon_L1783_ *) % 1.57/1.76 assert (zenon_L1784_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp22)) -> (~(c1_1 (a862))) -> (~(c3_1 (a862))) -> (c0_1 (a862)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp8)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H7e zenon_H27 zenon_H14 zenon_H15 zenon_H16 zenon_H2a zenon_He8 zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_Hd7 zenon_Hd9 zenon_Hea zenon_H264 zenon_H25a zenon_H258 zenon_Hd8 zenon_H158 zenon_H159 zenon_H15a zenon_H119 zenon_H55. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.57/1.76 apply (zenon_L116_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.57/1.76 apply (zenon_L433_); trivial. % 1.57/1.76 exact (zenon_H55 zenon_H56). % 1.57/1.76 (* end of lemma zenon_L1784_ *) % 1.57/1.76 assert (zenon_L1785_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (c0_1 (a862)) -> (~(c3_1 (a862))) -> (~(c1_1 (a862))) -> (~(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp15)) -> False). % 1.57/1.76 do 0 intro. intros zenon_H3b zenon_H55 zenon_H119 zenon_H15a zenon_H159 zenon_H158 zenon_H258 zenon_H25a zenon_H264 zenon_Hea zenon_Hd9 zenon_Hd7 zenon_H2a zenon_H16 zenon_H15 zenon_H14 zenon_H27 zenon_H7e zenon_He8. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.57/1.76 apply (zenon_L1784_); trivial. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.57/1.76 apply (zenon_L15_); trivial. % 1.57/1.76 exact (zenon_He8 zenon_He9). % 1.57/1.76 (* end of lemma zenon_L1785_ *) % 1.57/1.76 assert (zenon_L1786_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_Hec zenon_H40 zenon_H2a zenon_H27 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.57/1.76 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L1739_); trivial. % 1.57/1.76 apply (zenon_L1785_); trivial. % 1.57/1.76 (* end of lemma zenon_L1786_ *) % 1.57/1.76 assert (zenon_L1787_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H8e zenon_H8f zenon_H90 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H55 zenon_H7e zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L91_); trivial. % 1.57/1.76 apply (zenon_L435_); trivial. % 1.57/1.76 (* end of lemma zenon_L1787_ *) % 1.57/1.76 assert (zenon_L1788_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H101 zenon_Hef zenon_H1a2 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H119 zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H258 zenon_H25a zenon_H264 zenon_H15a zenon_H159 zenon_H158 zenon_H55 zenon_H7e zenon_H109 zenon_H10b zenon_H163 zenon_H161 zenon_H165 zenon_H54. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_L1787_); trivial. % 1.57/1.76 apply (zenon_L139_); trivial. % 1.57/1.76 apply (zenon_L170_); trivial. % 1.57/1.76 (* end of lemma zenon_L1788_ *) % 1.57/1.76 assert (zenon_L1789_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_Hef zenon_H2a zenon_Hd7 zenon_Hd9 zenon_He8 zenon_Hea zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_H163 zenon_H165 zenon_H54 zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H108. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_L1759_); trivial. % 1.57/1.76 apply (zenon_L139_); trivial. % 1.57/1.76 apply (zenon_L1786_); trivial. % 1.57/1.76 apply (zenon_L1788_); trivial. % 1.57/1.76 apply (zenon_L968_); trivial. % 1.57/1.76 (* end of lemma zenon_L1789_ *) % 1.57/1.76 assert (zenon_L1790_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H40 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H12 zenon_H190 zenon_H191 zenon_H192 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L551_); trivial. % 1.57/1.76 apply (zenon_L866_); trivial. % 1.57/1.76 (* end of lemma zenon_L1790_ *) % 1.57/1.76 assert (zenon_L1791_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H18c zenon_H18a zenon_H138 zenon_H23b zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H10b zenon_H3c zenon_H119 zenon_H11e zenon_H124 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H192 zenon_H191 zenon_H190 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H1d6 zenon_H40. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.76 apply (zenon_L1790_); trivial. % 1.57/1.76 apply (zenon_L848_); trivial. % 1.57/1.76 (* end of lemma zenon_L1791_ *) % 1.57/1.76 assert (zenon_L1792_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H1e6 zenon_H1d9 zenon_H138 zenon_H23b zenon_H54 zenon_H165 zenon_H10b zenon_H3c zenon_H119 zenon_H11e zenon_H40 zenon_H1d6 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H185 zenon_H86 zenon_H1e4 zenon_H124 zenon_H18a. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.57/1.76 apply (zenon_L1790_); trivial. % 1.57/1.76 apply (zenon_L241_); trivial. % 1.57/1.76 apply (zenon_L1791_); trivial. % 1.57/1.76 (* end of lemma zenon_L1792_ *) % 1.57/1.76 assert (zenon_L1793_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H124 zenon_H7e zenon_H13b zenon_H13a zenon_H139 zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H80 zenon_Hc2 zenon_H2e zenon_H71 zenon_H8c zenon_H1f2 zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H4d zenon_H50 zenon_H54 zenon_H11e. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L897_); trivial. % 1.57/1.76 apply (zenon_L215_); trivial. % 1.57/1.76 (* end of lemma zenon_L1793_ *) % 1.57/1.76 assert (zenon_L1794_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_L1744_); trivial. % 1.57/1.76 apply (zenon_L809_); trivial. % 1.57/1.76 (* end of lemma zenon_L1794_ *) % 1.57/1.76 assert (zenon_L1795_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.57/1.76 apply (zenon_L1793_); trivial. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.57/1.76 apply (zenon_L897_); trivial. % 1.57/1.76 apply (zenon_L1794_); trivial. % 1.57/1.76 (* end of lemma zenon_L1795_ *) % 1.57/1.76 assert (zenon_L1796_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp27)) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H39 zenon_H109 zenon_H10b. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.57/1.76 apply (zenon_L91_); trivial. % 1.57/1.76 apply (zenon_L570_); trivial. % 1.57/1.76 (* end of lemma zenon_L1796_ *) % 1.57/1.76 assert (zenon_L1797_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H109 zenon_H10b zenon_H4d zenon_H50 zenon_H54. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.57/1.76 apply (zenon_L1796_); trivial. % 1.57/1.76 apply (zenon_L22_); trivial. % 1.57/1.76 apply (zenon_L1555_); trivial. % 1.57/1.76 (* end of lemma zenon_L1797_ *) % 1.57/1.76 assert (zenon_L1798_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.57/1.76 do 0 intro. intros zenon_H11d zenon_H11e zenon_H27f zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H258 zenon_H25a zenon_H264 zenon_H55 zenon_H7e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H15a zenon_H159 zenon_H158 zenon_H20f zenon_H210 zenon_H71 zenon_He8 zenon_Hea zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.57/1.76 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.57/1.76 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.57/1.76 apply (zenon_L1797_); trivial. % 1.57/1.76 apply (zenon_L873_); trivial. % 1.57/1.76 (* end of lemma zenon_L1798_ *) % 1.57/1.76 assert (zenon_L1799_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.67/1.77 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H155 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H153 zenon_H2f0 zenon_H5. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.67/1.77 apply (zenon_L705_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.67/1.77 apply (zenon_L1613_); trivial. % 1.67/1.77 exact (zenon_H5 zenon_H6). % 1.67/1.77 (* end of lemma zenon_L1799_ *) % 1.67/1.77 assert (zenon_L1800_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L1739_); trivial. % 1.67/1.77 apply (zenon_L1799_); trivial. % 1.67/1.77 (* end of lemma zenon_L1800_ *) % 1.67/1.77 assert (zenon_L1801_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2e zenon_H1bc zenon_H133 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H161 zenon_H1d6 zenon_H40. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L1747_); trivial. % 1.67/1.77 apply (zenon_L1800_); trivial. % 1.67/1.77 (* end of lemma zenon_L1801_ *) % 1.67/1.77 assert (zenon_L1802_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H125 zenon_H127 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H163 zenon_H3 zenon_H161 zenon_H16f zenon_H8c zenon_H8a zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L520_); trivial. % 1.67/1.77 apply (zenon_L335_); trivial. % 1.67/1.77 (* end of lemma zenon_L1802_ *) % 1.67/1.77 assert (zenon_L1803_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H1c2 zenon_H5 zenon_H153 zenon_H155 zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L155_); trivial. % 1.67/1.77 apply (zenon_L1800_); trivial. % 1.67/1.77 (* end of lemma zenon_L1803_ *) % 1.67/1.77 assert (zenon_L1804_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L1739_); trivial. % 1.67/1.77 apply (zenon_L570_); trivial. % 1.67/1.77 (* end of lemma zenon_L1804_ *) % 1.67/1.77 assert (zenon_L1805_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H40 zenon_Hea zenon_He8 zenon_H71 zenon_H210 zenon_H20f zenon_H158 zenon_H159 zenon_H15a zenon_H231 zenon_H7e zenon_H55 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L155_); trivial. % 1.67/1.77 apply (zenon_L1804_); trivial. % 1.67/1.77 (* end of lemma zenon_L1805_ *) % 1.67/1.77 assert (zenon_L1806_ : ((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_Hec zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2a zenon_H27 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_L18_); trivial. % 1.67/1.77 apply (zenon_L985_); trivial. % 1.67/1.77 (* end of lemma zenon_L1806_ *) % 1.67/1.77 assert (zenon_L1807_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H138 zenon_H1e4 zenon_H1d6 zenon_H108 zenon_Hac zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_Hea zenon_He8 zenon_H133 zenon_H1bc zenon_H20f zenon_H210 zenon_H71 zenon_Hf zenon_H3c zenon_H40 zenon_H185 zenon_H86 zenon_H12 zenon_H264 zenon_H258 zenon_H25a zenon_H8c zenon_H88 zenon_H2e zenon_H2a zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H153 zenon_H155 zenon_Hef zenon_H1be zenon_H1c0 zenon_H124. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.67/1.77 apply (zenon_L582_); trivial. % 1.67/1.77 apply (zenon_L1806_); trivial. % 1.67/1.77 apply (zenon_L232_); trivial. % 1.67/1.77 apply (zenon_L500_); trivial. % 1.67/1.77 apply (zenon_L941_); trivial. % 1.67/1.77 (* end of lemma zenon_L1807_ *) % 1.67/1.77 assert (zenon_L1808_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.67/1.77 do 0 intro. intros zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H13b zenon_H13a zenon_H139 zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.67/1.77 apply (zenon_L136_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.67/1.77 apply (zenon_L117_); trivial. % 1.67/1.77 apply (zenon_L1771_); trivial. % 1.67/1.77 (* end of lemma zenon_L1808_ *) % 1.67/1.77 assert (zenon_L1809_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H165 zenon_H12a zenon_H12b zenon_H12c zenon_H231 zenon_H13b zenon_H13a zenon_H139 zenon_H15a zenon_H159 zenon_H158 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L91_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.67/1.77 apply (zenon_L161_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.67/1.77 apply (zenon_L1808_); trivial. % 1.67/1.77 apply (zenon_L229_); trivial. % 1.67/1.77 apply (zenon_L22_); trivial. % 1.67/1.77 apply (zenon_L1555_); trivial. % 1.67/1.77 apply (zenon_L846_); trivial. % 1.67/1.77 (* end of lemma zenon_L1809_ *) % 1.67/1.77 assert (zenon_L1810_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H139 zenon_H13a zenon_H13b zenon_H185 zenon_H86 zenon_H25a zenon_H258 zenon_H264 zenon_H165. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L440_); trivial. % 1.67/1.77 apply (zenon_L1809_); trivial. % 1.67/1.77 (* end of lemma zenon_L1810_ *) % 1.67/1.77 assert (zenon_L1811_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (~(c2_1 (a833))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.67/1.77 do 0 intro. intros zenon_H231 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_Hc6 zenon_Hc5 zenon_H65 zenon_Hc4 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H232 ]. % 1.67/1.77 apply (zenon_L820_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H129 ]. % 1.67/1.77 apply (zenon_L64_); trivial. % 1.67/1.77 apply (zenon_L108_); trivial. % 1.67/1.77 (* end of lemma zenon_L1811_ *) % 1.67/1.77 assert (zenon_L1812_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H12c zenon_H12b zenon_H12a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_H30 zenon_H31 zenon_H32 zenon_H231 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.67/1.77 apply (zenon_L161_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.67/1.77 apply (zenon_L1811_); trivial. % 1.67/1.77 apply (zenon_L1033_); trivial. % 1.67/1.77 (* end of lemma zenon_L1812_ *) % 1.67/1.77 assert (zenon_L1813_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False). % 1.67/1.77 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H4d zenon_H4b zenon_H50 zenon_H231 zenon_H20f zenon_H210 zenon_H71 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12a zenon_H12b zenon_H12c zenon_H190 zenon_H191 zenon_H192 zenon_H1e2 zenon_H32 zenon_H31 zenon_H30 zenon_He8. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.67/1.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.67/1.77 apply (zenon_L1812_); trivial. % 1.67/1.77 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.67/1.77 apply (zenon_L15_); trivial. % 1.67/1.77 exact (zenon_He8 zenon_He9). % 1.67/1.77 (* end of lemma zenon_L1813_ *) % 1.67/1.77 assert (zenon_L1814_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1b9 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H233 zenon_H192 zenon_H191 zenon_H190 zenon_H4d zenon_H50 zenon_H71 zenon_H210 zenon_H20f zenon_H231 zenon_He8 zenon_Hea zenon_Hc2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L155_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L91_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.67/1.77 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.67/1.77 apply (zenon_L1767_); trivial. % 1.67/1.77 apply (zenon_L1813_); trivial. % 1.67/1.77 apply (zenon_L22_); trivial. % 1.67/1.77 apply (zenon_L1555_); trivial. % 1.67/1.77 apply (zenon_L846_); trivial. % 1.67/1.77 (* end of lemma zenon_L1814_ *) % 1.67/1.77 assert (zenon_L1815_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_L216_); trivial. % 1.67/1.77 apply (zenon_L1810_); trivial. % 1.67/1.77 (* end of lemma zenon_L1815_ *) % 1.67/1.77 assert (zenon_L1816_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp29))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H158 zenon_H159 zenon_H15a zenon_H25a zenon_H258 zenon_H264 zenon_H165 zenon_H124 zenon_H11e zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_Hc2 zenon_H4d zenon_H50 zenon_H55 zenon_Hd4 zenon_H190 zenon_H191 zenon_H192 zenon_H233 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H71 zenon_H10b zenon_H10d zenon_H7e zenon_H125 zenon_H127 zenon_H54 zenon_H80 zenon_H86 zenon_H185 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_H231 zenon_H20f zenon_H210 zenon_H1ca. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_L1770_); trivial. % 1.67/1.77 apply (zenon_L1814_); trivial. % 1.67/1.77 apply (zenon_L1815_); trivial. % 1.67/1.77 (* end of lemma zenon_L1816_ *) % 1.67/1.77 assert (zenon_L1817_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H124 zenon_H11e zenon_H40 zenon_H127 zenon_H125 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H10b zenon_H158 zenon_H159 zenon_H15a zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H54 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L155_); trivial. % 1.67/1.77 apply (zenon_L1019_); trivial. % 1.67/1.77 (* end of lemma zenon_L1817_ *) % 1.67/1.77 assert (zenon_L1818_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hd4 zenon_H55 zenon_H7e zenon_H185 zenon_H86 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H15a zenon_H159 zenon_H158 zenon_H10b zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H125 zenon_H127 zenon_H40 zenon_H11e zenon_H124. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.67/1.77 apply (zenon_L1817_); trivial. % 1.67/1.77 apply (zenon_L1754_); trivial. % 1.67/1.77 (* end of lemma zenon_L1818_ *) % 1.67/1.77 assert (zenon_L1819_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1ca zenon_H1bc zenon_H133 zenon_H124 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hea zenon_He8 zenon_Hd4 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H103 zenon_H138. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L155_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_L27_); trivial. % 1.67/1.77 apply (zenon_L990_); trivial. % 1.67/1.77 apply (zenon_L377_); trivial. % 1.67/1.77 apply (zenon_L1282_); trivial. % 1.67/1.77 (* end of lemma zenon_L1819_ *) % 1.67/1.77 assert (zenon_L1820_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H133 zenon_H11e zenon_H54 zenon_H50 zenon_H4d zenon_H10b zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_Hb4 zenon_Hb2 zenon_H1f2 zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_L1793_); trivial. % 1.67/1.77 apply (zenon_L1282_); trivial. % 1.67/1.77 (* end of lemma zenon_L1820_ *) % 1.67/1.77 assert (zenon_L1821_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_L895_); trivial. % 1.67/1.77 apply (zenon_L1725_); trivial. % 1.67/1.77 apply (zenon_L255_); trivial. % 1.67/1.77 (* end of lemma zenon_L1821_ *) % 1.67/1.77 assert (zenon_L1822_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1bc zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10b zenon_H7e zenon_H55 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54 zenon_Hd4 zenon_H124. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L1821_); trivial. % 1.67/1.77 apply (zenon_L215_); trivial. % 1.67/1.77 apply (zenon_L1282_); trivial. % 1.67/1.77 (* end of lemma zenon_L1822_ *) % 1.67/1.77 assert (zenon_L1823_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_L984_); trivial. % 1.67/1.77 apply (zenon_L766_); trivial. % 1.67/1.77 (* end of lemma zenon_L1823_ *) % 1.67/1.77 assert (zenon_L1824_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H119 zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H3c zenon_Hd zenon_H10b zenon_H2e zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H1bc zenon_H71 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_L984_); trivial. % 1.67/1.77 apply (zenon_L968_); trivial. % 1.67/1.77 (* end of lemma zenon_L1824_ *) % 1.67/1.77 assert (zenon_L1825_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1a2 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Haa zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_Hc2 zenon_H103 zenon_Hd7 zenon_Hd9 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10b zenon_H7e zenon_H55 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H54. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.77 apply (zenon_L1064_); trivial. % 1.67/1.77 apply (zenon_L968_); trivial. % 1.67/1.77 (* end of lemma zenon_L1825_ *) % 1.67/1.77 assert (zenon_L1826_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H138 zenon_H54 zenon_H21d zenon_H1be zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H86 zenon_H88 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_Hac. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.67/1.77 apply (zenon_L813_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.67/1.77 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.77 apply (zenon_L27_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.77 apply (zenon_L343_); trivial. % 1.67/1.77 apply (zenon_L842_); trivial. % 1.67/1.77 apply (zenon_L391_); trivial. % 1.67/1.77 (* end of lemma zenon_L1826_ *) % 1.67/1.77 assert (zenon_L1827_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H40 zenon_H155 zenon_H153 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_L216_); trivial. % 1.67/1.77 apply (zenon_L1282_); trivial. % 1.67/1.77 (* end of lemma zenon_L1827_ *) % 1.67/1.77 assert (zenon_L1828_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp25)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(~(c3_1 (a865))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H187 zenon_H18b zenon_H124 zenon_H11e zenon_H10b zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H5 zenon_H1c4 zenon_H1c2 zenon_H185 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H15a zenon_H159 zenon_H158 zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H103 zenon_Hea zenon_H86 zenon_H88 zenon_Hac zenon_H138. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.67/1.77 apply (zenon_L1082_); trivial. % 1.67/1.77 apply (zenon_L828_); trivial. % 1.67/1.77 (* end of lemma zenon_L1828_ *) % 1.67/1.77 assert (zenon_L1829_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.67/1.77 apply (zenon_L416_); trivial. % 1.67/1.77 apply (zenon_L1666_); trivial. % 1.67/1.77 (* end of lemma zenon_L1829_ *) % 1.67/1.77 assert (zenon_L1830_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H86 zenon_H185 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_Hb2 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_Hd4 zenon_H55 zenon_H165 zenon_H1e2 zenon_Hc2 zenon_H124 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.67/1.77 apply (zenon_L493_); trivial. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.67/1.77 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.77 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.77 apply (zenon_L1669_); trivial. % 1.67/1.77 apply (zenon_L1042_); trivial. % 1.67/1.77 apply (zenon_L1671_); trivial. % 1.67/1.77 (* end of lemma zenon_L1830_ *) % 1.67/1.77 assert (zenon_L1831_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.67/1.77 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H1be zenon_H21d zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H2e. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1829_); trivial. % 1.67/1.78 apply (zenon_L1045_); trivial. % 1.67/1.78 (* end of lemma zenon_L1831_ *) % 1.67/1.78 assert (zenon_L1832_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ca zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H25a zenon_H258 zenon_H264 zenon_H86 zenon_H185 zenon_H54 zenon_Hd4 zenon_H7e zenon_H10b zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1e2 zenon_H11e zenon_H124 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.67/1.78 apply (zenon_L644_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1669_); trivial. % 1.67/1.78 apply (zenon_L1048_); trivial. % 1.67/1.78 apply (zenon_L1671_); trivial. % 1.67/1.78 (* end of lemma zenon_L1832_ *) % 1.67/1.78 assert (zenon_L1833_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (ndr1_0) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.67/1.78 do 0 intro. intros zenon_Hc2 zenon_H1e2 zenon_H4b zenon_H4d zenon_H50 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H110 zenon_H111 zenon_H112 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H12 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.67/1.78 apply (zenon_L1052_); trivial. % 1.67/1.78 apply (zenon_L1034_); trivial. % 1.67/1.78 (* end of lemma zenon_L1833_ *) % 1.67/1.78 assert (zenon_L1834_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H18a zenon_H18b zenon_H185 zenon_H86 zenon_H7e zenon_H124 zenon_H1e2 zenon_H165 zenon_H55 zenon_Hd4 zenon_H192 zenon_H191 zenon_H190 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H1ca zenon_H1d6 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.67/1.78 apply (zenon_L493_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.67/1.78 apply (zenon_L494_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1678_); trivial. % 1.67/1.78 apply (zenon_L1042_); trivial. % 1.67/1.78 apply (zenon_L1671_); trivial. % 1.67/1.78 apply (zenon_L1681_); trivial. % 1.67/1.78 (* end of lemma zenon_L1834_ *) % 1.67/1.78 assert (zenon_L1835_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (ndr1_0) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H7e zenon_H1be zenon_Hf6 zenon_H30 zenon_H31 zenon_H32 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H44 zenon_H43 zenon_H42 zenon_H12 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H55. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.67/1.78 apply (zenon_L188_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.67/1.78 apply (zenon_L998_); trivial. % 1.67/1.78 exact (zenon_H55 zenon_H56). % 1.67/1.78 (* end of lemma zenon_L1835_ *) % 1.67/1.78 assert (zenon_L1836_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H155 zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H7e zenon_H25a zenon_H258 zenon_H264 zenon_H12 zenon_H153. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.67/1.78 apply (zenon_L1835_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.67/1.78 apply (zenon_L420_); trivial. % 1.67/1.78 exact (zenon_H153 zenon_H154). % 1.67/1.78 (* end of lemma zenon_L1836_ *) % 1.67/1.78 assert (zenon_L1837_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp15)) -> False). % 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_Hea zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H7e zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_He8. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.67/1.78 apply (zenon_L1836_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.67/1.78 apply (zenon_L15_); trivial. % 1.67/1.78 exact (zenon_He8 zenon_He9). % 1.67/1.78 (* end of lemma zenon_L1837_ *) % 1.67/1.78 assert (zenon_L1838_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H3b zenon_Hc2 zenon_H7e zenon_H55 zenon_H42 zenon_H43 zenon_H44 zenon_H71 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.67/1.78 apply (zenon_L372_); trivial. % 1.67/1.78 apply (zenon_L1837_); trivial. % 1.67/1.78 (* end of lemma zenon_L1838_ *) % 1.67/1.78 assert (zenon_L1839_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H4f zenon_H40 zenon_H7e zenon_H55 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1be zenon_H1c0 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H71 zenon_Hc2. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.78 apply (zenon_L1689_); trivial. % 1.67/1.78 apply (zenon_L1838_); trivial. % 1.67/1.78 (* end of lemma zenon_L1839_ *) % 1.67/1.78 assert (zenon_L1840_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H1be zenon_H1c0 zenon_H264 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H3c zenon_H40 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1678_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.78 apply (zenon_L1690_); trivial. % 1.67/1.78 apply (zenon_L1839_); trivial. % 1.67/1.78 (* end of lemma zenon_L1840_ *) % 1.67/1.78 assert (zenon_L1841_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a799))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1ca zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_H1be zenon_H1c0 zenon_H264 zenon_H153 zenon_H155 zenon_Hf zenon_H3c zenon_H40 zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2 zenon_H125 zenon_H127 zenon_Hd4 zenon_H10b zenon_H190 zenon_H191 zenon_H192 zenon_H147 zenon_H1a4 zenon_H148 zenon_H21d zenon_H119 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_H1a2 zenon_H11e zenon_H138. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.78 apply (zenon_L1840_); trivial. % 1.67/1.78 apply (zenon_L1831_); trivial. % 1.67/1.78 apply (zenon_L1671_); trivial. % 1.67/1.78 (* end of lemma zenon_L1841_ *) % 1.67/1.78 assert (zenon_L1842_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (ndr1_0) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H2e zenon_H1bc zenon_Hb zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H8a zenon_H25a zenon_H258 zenon_H12 zenon_Hb2 zenon_H1f2. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.67/1.78 apply (zenon_L416_); trivial. % 1.67/1.78 apply (zenon_L473_); trivial. % 1.67/1.78 (* end of lemma zenon_L1842_ *) % 1.67/1.78 assert (zenon_L1843_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H1bc zenon_H2e zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.67/1.78 apply (zenon_L1842_); trivial. % 1.67/1.78 apply (zenon_L638_); trivial. % 1.67/1.78 apply (zenon_L215_); trivial. % 1.67/1.78 apply (zenon_L1671_); trivial. % 1.67/1.78 (* end of lemma zenon_L1843_ *) % 1.67/1.78 assert (zenon_L1844_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H13 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_H1dc zenon_Hb6 zenon_Hb8 zenon_Hb7 zenon_Haa zenon_H1be. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.67/1.78 apply (zenon_L1039_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.67/1.78 apply (zenon_L1039_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.67/1.78 apply (zenon_L98_); trivial. % 1.67/1.78 apply (zenon_L764_); trivial. % 1.67/1.78 exact (zenon_H1be zenon_H1bf). % 1.67/1.78 (* end of lemma zenon_L1844_ *) % 1.67/1.78 assert (zenon_L1845_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H12 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_H1dc zenon_Hb6 zenon_Hb8 zenon_Hb7 zenon_Haa zenon_H1be. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.67/1.78 apply (zenon_L161_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.67/1.78 apply (zenon_L169_); trivial. % 1.67/1.78 apply (zenon_L1844_); trivial. % 1.67/1.78 (* end of lemma zenon_L1845_ *) % 1.67/1.78 assert (zenon_L1846_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (~(c0_1 (a814))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_H1e2 zenon_H55 zenon_Hd2 zenon_Hd4 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H21d zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H165 zenon_H15a zenon_H159 zenon_H158 zenon_H246 zenon_H244 zenon_H245 zenon_Haa zenon_H1be. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.67/1.78 apply (zenon_L161_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.67/1.78 apply (zenon_L66_); trivial. % 1.67/1.78 apply (zenon_L1845_); trivial. % 1.67/1.78 (* end of lemma zenon_L1846_ *) % 1.67/1.78 assert (zenon_L1847_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H57 zenon_H59 zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H40 zenon_H3c zenon_Hf zenon_H155 zenon_H153 zenon_H264 zenon_H1c0 zenon_H1be zenon_H55 zenon_H7e zenon_H54 zenon_H124. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.78 apply (zenon_L1840_); trivial. % 1.67/1.78 apply (zenon_L377_); trivial. % 1.67/1.78 (* end of lemma zenon_L1847_ *) % 1.67/1.78 assert (zenon_L1848_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (c0_1 (a829)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H50 zenon_Hb7 zenon_Hb8 zenon_Hb6 zenon_H12 zenon_H4b zenon_H4d. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.67/1.78 apply (zenon_L161_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.67/1.78 apply (zenon_L544_); trivial. % 1.67/1.78 apply (zenon_L1033_); trivial. % 1.67/1.78 (* end of lemma zenon_L1848_ *) % 1.67/1.78 assert (zenon_L1849_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.67/1.78 do 0 intro. intros zenon_Hbf zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H50 zenon_H4b zenon_H4d. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.67/1.78 apply (zenon_L396_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.67/1.78 apply (zenon_L1554_); trivial. % 1.67/1.78 apply (zenon_L1848_); trivial. % 1.67/1.78 (* end of lemma zenon_L1849_ *) % 1.67/1.78 assert (zenon_L1850_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> (ndr1_0) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.67/1.78 do 0 intro. intros zenon_Hc2 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H245 zenon_Hb4 zenon_Hb2 zenon_H246 zenon_H244 zenon_H12 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.67/1.78 apply (zenon_L1052_); trivial. % 1.67/1.78 apply (zenon_L1849_); trivial. % 1.67/1.78 (* end of lemma zenon_L1850_ *) % 1.67/1.78 assert (zenon_L1851_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c2_1 (a803))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2f0 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_Hc2 zenon_H40. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.67/1.78 apply (zenon_L600_); trivial. % 1.67/1.78 apply (zenon_L1684_); trivial. % 1.67/1.78 (* end of lemma zenon_L1851_ *) % 1.67/1.78 assert (zenon_L1852_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (ndr1_0) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a800))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H80 zenon_H54 zenon_H55 zenon_H7e zenon_H10b zenon_H109 zenon_Hea zenon_He8 zenon_H71 zenon_Hd9 zenon_Hd7 zenon_H103 zenon_H40 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H12 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_H245 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H4d zenon_H50 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_Hc2. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.78 apply (zenon_L1850_); trivial. % 1.67/1.78 apply (zenon_L1851_); trivial. % 1.67/1.78 (* end of lemma zenon_L1852_ *) % 1.67/1.78 assert (zenon_L1853_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a800)) -> (~(c0_1 (a800))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c3_1 (a838)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H246 zenon_H244 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H1be zenon_H21d zenon_H111 zenon_H110 zenon_H112 zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hb2 zenon_Hb4. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.67/1.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.67/1.78 apply (zenon_L58_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.67/1.78 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.67/1.78 apply (zenon_L161_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.67/1.78 apply (zenon_L163_); trivial. % 1.67/1.78 apply (zenon_L1067_); trivial. % 1.67/1.78 (* end of lemma zenon_L1853_ *) % 1.67/1.78 assert (zenon_L1854_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(c0_1 (a800))) -> (c3_1 (a800)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a800))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H121 zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H71 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_H244 zenon_H246 zenon_Hb2 zenon_Hb4 zenon_H245 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H4d zenon_H50 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_Hc2. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.78 apply (zenon_L1850_); trivial. % 1.67/1.78 apply (zenon_L1853_); trivial. % 1.67/1.78 (* end of lemma zenon_L1854_ *) % 1.67/1.78 assert (zenon_L1855_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H11e zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H50 zenon_H4d zenon_H1e2 zenon_H21d zenon_H103 zenon_H10b zenon_H80 zenon_Hc2 zenon_H71 zenon_H1f2 zenon_Hb2 zenon_H12 zenon_H258 zenon_H25a zenon_H8c zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_Hb4 zenon_H2f0 zenon_H2e zenon_H40 zenon_H3c zenon_Hf zenon_H155 zenon_H153 zenon_H264 zenon_H1c0 zenon_H1be zenon_H55 zenon_H7e zenon_H54 zenon_H124. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.78 apply (zenon_L1840_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1678_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.78 apply (zenon_L1852_); trivial. % 1.67/1.78 apply (zenon_L1854_); trivial. % 1.67/1.78 (* end of lemma zenon_L1855_ *) % 1.67/1.78 assert (zenon_L1856_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H138 zenon_H124 zenon_H11e zenon_H80 zenon_H1a2 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H21d zenon_H1be zenon_H1e2 zenon_H4d zenon_H50 zenon_H192 zenon_H191 zenon_H190 zenon_H103 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H10b zenon_H8c zenon_H25a zenon_H258 zenon_H1f2 zenon_H40 zenon_H3c zenon_H2e zenon_H2f0 zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_Hc2 zenon_H158 zenon_H159 zenon_H15a zenon_H165 zenon_H54. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.78 apply (zenon_L1691_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1678_); trivial. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.67/1.78 apply (zenon_L601_); trivial. % 1.67/1.78 apply (zenon_L1854_); trivial. % 1.67/1.78 (* end of lemma zenon_L1856_ *) % 1.67/1.78 assert (zenon_L1857_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1a2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H119 zenon_H148 zenon_H1a4 zenon_H147 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H21d zenon_H2e zenon_H2f0 zenon_Hb4 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H8c zenon_H25a zenon_H258 zenon_Hb2 zenon_H1f2 zenon_H71 zenon_Hc2. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1678_); trivial. % 1.67/1.78 apply (zenon_L1069_); trivial. % 1.67/1.78 (* end of lemma zenon_L1857_ *) % 1.67/1.78 assert (zenon_L1858_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_Hb2 zenon_He4 zenon_H142 zenon_H8c zenon_H1f2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hd4 zenon_H55 zenon_H7e zenon_H54 zenon_H124 zenon_H138. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.67/1.78 apply (zenon_L1220_); trivial. % 1.67/1.78 apply (zenon_L1635_); trivial. % 1.67/1.78 (* end of lemma zenon_L1858_ *) % 1.67/1.78 assert (zenon_L1859_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1d9 zenon_H3c zenon_H165 zenon_H138 zenon_H124 zenon_H54 zenon_H7e zenon_H55 zenon_Hd4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_H1f2 zenon_H8c zenon_H142 zenon_He4 zenon_Hb2 zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H80 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H1ca. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.67/1.78 apply (zenon_L1858_); trivial. % 1.67/1.78 apply (zenon_L1103_); trivial. % 1.67/1.78 (* end of lemma zenon_L1859_ *) % 1.67/1.78 assert (zenon_L1860_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.78 apply (zenon_L1114_); trivial. % 1.67/1.78 apply (zenon_L1634_); trivial. % 1.67/1.78 (* end of lemma zenon_L1860_ *) % 1.67/1.78 assert (zenon_L1861_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.67/1.78 apply (zenon_L1663_); trivial. % 1.67/1.78 apply (zenon_L1860_); trivial. % 1.67/1.78 (* end of lemma zenon_L1861_ *) % 1.67/1.78 assert (zenon_L1862_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a840)) -> (c1_1 (a840)) -> (~(c0_1 (a840))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H90 zenon_H8f zenon_H8e zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.67/1.78 apply (zenon_L1105_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.67/1.78 apply (zenon_L48_); trivial. % 1.67/1.78 apply (zenon_L229_); trivial. % 1.67/1.78 (* end of lemma zenon_L1862_ *) % 1.67/1.78 assert (zenon_L1863_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a840))) -> (c1_1 (a840)) -> (c3_1 (a840)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.67/1.78 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H8e zenon_H8f zenon_H90 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.67/1.78 apply (zenon_L421_); trivial. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.67/1.78 apply (zenon_L1862_); trivial. % 1.67/1.78 exact (zenon_H5 zenon_H6). % 1.67/1.78 (* end of lemma zenon_L1863_ *) % 1.67/1.78 assert (zenon_L1864_ : ((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H101 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.67/1.78 apply (zenon_L1156_); trivial. % 1.67/1.78 apply (zenon_L1863_); trivial. % 1.67/1.78 (* end of lemma zenon_L1864_ *) % 1.67/1.78 assert (zenon_L1865_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp13)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.67/1.78 do 0 intro. intros zenon_H135 zenon_H124 zenon_H153 zenon_H86 zenon_H1e4 zenon_Hef zenon_H80 zenon_H2a zenon_H71 zenon_H16f zenon_H2c1 zenon_H4d zenon_H50 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H161 zenon_H163 zenon_H192 zenon_H191 zenon_H190 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H5 zenon_H1c2 zenon_H8c zenon_H54 zenon_H108. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.67/1.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.67/1.78 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.67/1.78 apply (zenon_L1161_); trivial. % 1.69/1.79 apply (zenon_L235_); trivial. % 1.69/1.79 (* end of lemma zenon_L1865_ *) % 1.69/1.79 assert (zenon_L1866_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H57 zenon_H59 zenon_H108 zenon_H7e zenon_H55 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2b4 zenon_H2b6 zenon_H163 zenon_H161 zenon_H16f zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_H2a zenon_Hef zenon_Hd4 zenon_Hd2 zenon_H124. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1214_); trivial. % 1.69/1.79 apply (zenon_L1173_); trivial. % 1.69/1.79 (* end of lemma zenon_L1866_ *) % 1.69/1.79 assert (zenon_L1867_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1bc zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.79 apply (zenon_L216_); trivial. % 1.69/1.79 apply (zenon_L1861_); trivial. % 1.69/1.79 (* end of lemma zenon_L1867_ *) % 1.69/1.79 assert (zenon_L1868_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H18c zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H23b zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H5 zenon_H1c2 zenon_H108 zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H163 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H55 zenon_H57 zenon_H59 zenon_H3c zenon_Hf zenon_H2a zenon_H2e zenon_H8c zenon_H54 zenon_Hef zenon_H16e zenon_He4 zenon_H124 zenon_H165 zenon_H2bf zenon_H2b5 zenon_H2c1 zenon_H18b. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1129_); trivial. % 1.69/1.79 apply (zenon_L1169_); trivial. % 1.69/1.79 apply (zenon_L1132_); trivial. % 1.69/1.79 apply (zenon_L1133_); trivial. % 1.69/1.79 (* end of lemma zenon_L1868_ *) % 1.69/1.79 assert (zenon_L1869_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a862))/\((~(c1_1 (a862)))/\(~(c3_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp22))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a840))/\((c3_1 (a840))/\(~(c0_1 (a840))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H5 zenon_H25a zenon_H258 zenon_H264 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_Hef zenon_H54 zenon_H8c zenon_H2e zenon_H2a zenon_Hd zenon_Hf zenon_H3c zenon_H59 zenon_H57 zenon_H55 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H163 zenon_H161 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H108. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L1126_); trivial. % 1.69/1.79 apply (zenon_L1137_); trivial. % 1.69/1.79 (* end of lemma zenon_L1869_ *) % 1.69/1.79 assert (zenon_L1870_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1be zenon_H1c0 zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H55 zenon_H7e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L531_); trivial. % 1.69/1.79 apply (zenon_L1138_); trivial. % 1.69/1.79 (* end of lemma zenon_L1870_ *) % 1.69/1.79 assert (zenon_L1871_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.79 apply (zenon_L1106_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.79 apply (zenon_L544_); trivial. % 1.69/1.79 apply (zenon_L229_); trivial. % 1.69/1.79 (* end of lemma zenon_L1871_ *) % 1.69/1.79 assert (zenon_L1872_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H3b zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.79 apply (zenon_L1106_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.79 apply (zenon_L545_); trivial. % 1.69/1.79 apply (zenon_L229_); trivial. % 1.69/1.79 (* end of lemma zenon_L1872_ *) % 1.69/1.79 assert (zenon_L1873_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H55 zenon_H57 zenon_H59. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L26_); trivial. % 1.69/1.79 apply (zenon_L1872_); trivial. % 1.69/1.79 (* end of lemma zenon_L1873_ *) % 1.69/1.79 assert (zenon_L1874_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.79 apply (zenon_L421_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.79 apply (zenon_L1554_); trivial. % 1.69/1.79 apply (zenon_L1699_); trivial. % 1.69/1.79 (* end of lemma zenon_L1874_ *) % 1.69/1.79 assert (zenon_L1875_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L1156_); trivial. % 1.69/1.79 apply (zenon_L1874_); trivial. % 1.69/1.79 (* end of lemma zenon_L1875_ *) % 1.69/1.79 assert (zenon_L1876_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_H80. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1875_); trivial. % 1.69/1.79 apply (zenon_L555_); trivial. % 1.69/1.79 (* end of lemma zenon_L1876_ *) % 1.69/1.79 assert (zenon_L1877_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H1d9 zenon_H71 zenon_H165 zenon_H80 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H1c2 zenon_H5 zenon_H23b zenon_H138. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.69/1.79 apply (zenon_L1876_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1158_); trivial. % 1.69/1.79 apply (zenon_L555_); trivial. % 1.69/1.79 (* end of lemma zenon_L1877_ *) % 1.69/1.79 assert (zenon_L1878_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a814))) -> (~(c3_1 (a814))) -> (c1_1 (a814)) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H40 zenon_H158 zenon_H159 zenon_H15a zenon_He4 zenon_H16e zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L498_); trivial. % 1.69/1.79 apply (zenon_L1127_); trivial. % 1.69/1.79 (* end of lemma zenon_L1878_ *) % 1.69/1.79 assert (zenon_L1879_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H1d8 zenon_H18a zenon_H124 zenon_H231 zenon_H86 zenon_H185 zenon_H1d6 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.79 apply (zenon_L225_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.79 apply (zenon_L1554_); trivial. % 1.69/1.79 apply (zenon_L1699_); trivial. % 1.69/1.79 apply (zenon_L1088_); trivial. % 1.69/1.79 (* end of lemma zenon_L1879_ *) % 1.69/1.79 assert (zenon_L1880_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8a zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1221_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.69/1.79 apply (zenon_L46_); trivial. % 1.69/1.79 apply (zenon_L1666_); trivial. % 1.69/1.79 (* end of lemma zenon_L1880_ *) % 1.69/1.79 assert (zenon_L1881_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H54 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1221_); trivial. % 1.69/1.79 apply (zenon_L1026_); trivial. % 1.69/1.79 (* end of lemma zenon_L1881_ *) % 1.69/1.79 assert (zenon_L1882_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H1ca zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_H7e zenon_H55 zenon_Hd4 zenon_H124. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L1880_); trivial. % 1.69/1.79 apply (zenon_L1881_); trivial. % 1.69/1.79 apply (zenon_L1671_); trivial. % 1.69/1.79 (* end of lemma zenon_L1882_ *) % 1.69/1.79 assert (zenon_L1883_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb2 zenon_Hb4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1100_); trivial. % 1.69/1.79 apply (zenon_L1684_); trivial. % 1.69/1.79 (* end of lemma zenon_L1883_ *) % 1.69/1.79 assert (zenon_L1884_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(hskp9)) -> (~(hskp3)) -> ((hskp9)\/((hskp3)\/(hskp26))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H71 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_Hb2 zenon_He4 zenon_H142. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L122_); trivial. % 1.69/1.79 apply (zenon_L1883_); trivial. % 1.69/1.79 (* end of lemma zenon_L1884_ *) % 1.69/1.79 assert (zenon_L1885_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H81 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_Hc2 zenon_H40. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1094_); trivial. % 1.69/1.79 apply (zenon_L1684_); trivial. % 1.69/1.79 (* end of lemma zenon_L1885_ *) % 1.69/1.79 assert (zenon_L1886_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.79 apply (zenon_L396_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.79 apply (zenon_L1554_); trivial. % 1.69/1.79 apply (zenon_L1871_); trivial. % 1.69/1.79 (* end of lemma zenon_L1886_ *) % 1.69/1.79 assert (zenon_L1887_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H40 zenon_H2f0 zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H59 zenon_H7e zenon_H18b. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L26_); trivial. % 1.69/1.79 apply (zenon_L1886_); trivial. % 1.69/1.79 apply (zenon_L1693_); trivial. % 1.69/1.79 apply (zenon_L1700_); trivial. % 1.69/1.79 (* end of lemma zenon_L1887_ *) % 1.69/1.79 assert (zenon_L1888_ : ((ndr1_0)/\((c1_1 (a803))/\((c3_1 (a803))/\(~(c2_1 (a803)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H289 zenon_H255 zenon_H16e zenon_H138 zenon_H2c1 zenon_H142 zenon_He4 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hb4 zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_H71 zenon_H2f0 zenon_Hc2 zenon_H54 zenon_H80 zenon_H18b zenon_H59 zenon_H1e2 zenon_Hea zenon_H2a0 zenon_H2a5. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1884_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L122_); trivial. % 1.69/1.79 apply (zenon_L1885_); trivial. % 1.69/1.79 apply (zenon_L1887_); trivial. % 1.69/1.79 apply (zenon_L1633_); trivial. % 1.69/1.79 (* end of lemma zenon_L1888_ *) % 1.69/1.79 assert (zenon_L1889_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L1156_); trivial. % 1.69/1.79 apply (zenon_L1555_); trivial. % 1.69/1.79 (* end of lemma zenon_L1889_ *) % 1.69/1.79 assert (zenon_L1890_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11e zenon_H1f2 zenon_H8a zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.79 apply (zenon_L1889_); trivial. % 1.69/1.79 apply (zenon_L255_); trivial. % 1.69/1.79 (* end of lemma zenon_L1890_ *) % 1.69/1.79 assert (zenon_L1891_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H231 zenon_H55 zenon_H7e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L1890_); trivial. % 1.69/1.79 apply (zenon_L1237_); trivial. % 1.69/1.79 (* end of lemma zenon_L1891_ *) % 1.69/1.79 assert (zenon_L1892_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L1114_); trivial. % 1.69/1.79 apply (zenon_L1555_); trivial. % 1.69/1.79 (* end of lemma zenon_L1892_ *) % 1.69/1.79 assert (zenon_L1893_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.79 apply (zenon_L1892_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L1114_); trivial. % 1.69/1.79 apply (zenon_L1097_); trivial. % 1.69/1.79 (* end of lemma zenon_L1893_ *) % 1.69/1.79 assert (zenon_L1894_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H7e zenon_H55 zenon_H119 zenon_H5 zenon_H1c4 zenon_Hb4 zenon_H71 zenon_Hc2 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H2c1 zenon_H4d zenon_H50 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.79 apply (zenon_L1892_); trivial. % 1.69/1.79 apply (zenon_L255_); trivial. % 1.69/1.79 apply (zenon_L1893_); trivial. % 1.69/1.79 (* end of lemma zenon_L1894_ *) % 1.69/1.79 assert (zenon_L1895_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1249_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L200_); trivial. % 1.69/1.79 apply (zenon_L1239_); trivial. % 1.69/1.79 (* end of lemma zenon_L1895_ *) % 1.69/1.79 assert (zenon_L1896_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H2f zenon_H12 zenon_H55. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H65 | zenon_intro zenon_H7f ]. % 1.69/1.79 apply (zenon_L822_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H56 ]. % 1.69/1.79 apply (zenon_L100_); trivial. % 1.69/1.79 exact (zenon_H55 zenon_H56). % 1.69/1.79 (* end of lemma zenon_L1896_ *) % 1.69/1.79 assert (zenon_L1897_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H102 zenon_H55 zenon_H1c2 zenon_H28e zenon_H28d zenon_H28c zenon_H44 zenon_H43 zenon_H42 zenon_H5 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd8 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H12 zenon_H1. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H106 ]. % 1.69/1.79 apply (zenon_L920_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfc | zenon_intro zenon_H2 ]. % 1.69/1.79 apply (zenon_L87_); trivial. % 1.69/1.79 exact (zenon_H1 zenon_H2). % 1.69/1.79 (* end of lemma zenon_L1897_ *) % 1.69/1.79 assert (zenon_L1898_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp4)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp5)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H1c4 zenon_He8 zenon_Hea zenon_H1 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H55 zenon_H102 zenon_H5. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.69/1.79 apply (zenon_L920_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.69/1.79 apply (zenon_L1896_); trivial. % 1.69/1.79 exact (zenon_He8 zenon_He9). % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.79 apply (zenon_L1897_); trivial. % 1.69/1.79 exact (zenon_H5 zenon_H6). % 1.69/1.79 (* end of lemma zenon_L1898_ *) % 1.69/1.79 assert (zenon_L1899_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H1 zenon_H102 zenon_H7e zenon_H55 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H54. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L1895_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1249_); trivial. % 1.69/1.79 apply (zenon_L1898_); trivial. % 1.69/1.79 (* end of lemma zenon_L1899_ *) % 1.69/1.79 assert (zenon_L1900_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54 zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hf zenon_H3c zenon_H40 zenon_Hd4 zenon_H55 zenon_Hd2 zenon_H7e zenon_H124. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L475_); trivial. % 1.69/1.79 apply (zenon_L1753_); trivial. % 1.69/1.79 apply (zenon_L215_); trivial. % 1.69/1.79 apply (zenon_L1284_); trivial. % 1.69/1.79 (* end of lemma zenon_L1900_ *) % 1.69/1.79 assert (zenon_L1901_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L676_); trivial. % 1.69/1.79 apply (zenon_L1748_); trivial. % 1.69/1.79 (* end of lemma zenon_L1901_ *) % 1.69/1.79 assert (zenon_L1902_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H54 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1100_); trivial. % 1.69/1.79 apply (zenon_L1901_); trivial. % 1.69/1.79 (* end of lemma zenon_L1902_ *) % 1.69/1.79 assert (zenon_L1903_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c0_1 (a869))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H4f zenon_H40 zenon_H16f zenon_H161 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H5e zenon_H5d zenon_H5c zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L676_); trivial. % 1.69/1.79 apply (zenon_L1149_); trivial. % 1.69/1.79 (* end of lemma zenon_L1903_ *) % 1.69/1.79 assert (zenon_L1904_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.79 apply (zenon_L55_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L27_); trivial. % 1.69/1.79 apply (zenon_L1903_); trivial. % 1.69/1.79 (* end of lemma zenon_L1904_ *) % 1.69/1.79 assert (zenon_L1905_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H7e zenon_H55 zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L1283_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.79 apply (zenon_L1892_); trivial. % 1.69/1.79 apply (zenon_L809_); trivial. % 1.69/1.79 (* end of lemma zenon_L1905_ *) % 1.69/1.79 assert (zenon_L1906_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(c1_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H18b zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H16f zenon_H161 zenon_H8c zenon_H2bf zenon_Hd4 zenon_H7e zenon_H124 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H55 zenon_H57 zenon_H59 zenon_H4d zenon_H50 zenon_H54 zenon_H2b5 zenon_H2c1 zenon_H138. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.79 apply (zenon_L1243_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1904_); trivial. % 1.69/1.79 apply (zenon_L1284_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1904_); trivial. % 1.69/1.79 apply (zenon_L1905_); trivial. % 1.69/1.79 (* end of lemma zenon_L1906_ *) % 1.69/1.79 assert (zenon_L1907_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.79 apply (zenon_L1889_); trivial. % 1.69/1.79 apply (zenon_L809_); trivial. % 1.69/1.79 (* end of lemma zenon_L1907_ *) % 1.69/1.79 assert (zenon_L1908_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H124 zenon_H11e zenon_H7e zenon_H55 zenon_H13b zenon_H13a zenon_H139 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.79 apply (zenon_L155_); trivial. % 1.69/1.79 apply (zenon_L1907_); trivial. % 1.69/1.79 (* end of lemma zenon_L1908_ *) % 1.69/1.79 assert (zenon_L1909_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H138 zenon_H2c1 zenon_H5 zenon_H1c2 zenon_H2e zenon_H1bc zenon_H8c zenon_H80 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H11e zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.79 apply (zenon_L216_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.79 apply (zenon_L1908_); trivial. % 1.69/1.79 apply (zenon_L1905_); trivial. % 1.69/1.79 (* end of lemma zenon_L1909_ *) % 1.69/1.79 assert (zenon_L1910_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H18a zenon_H185 zenon_H86 zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_Hea zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80 zenon_H124 zenon_H7e zenon_Hd4 zenon_H2bf zenon_H8c zenon_H16f zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H119 zenon_H11e zenon_H1ca zenon_H18b. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.69/1.79 apply (zenon_L1906_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.79 apply (zenon_L1243_); trivial. % 1.69/1.79 apply (zenon_L1909_); trivial. % 1.69/1.79 (* end of lemma zenon_L1910_ *) % 1.69/1.79 assert (zenon_L1911_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.79 do 0 intro. intros zenon_H1e2 zenon_He8 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.79 apply (zenon_L1106_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.79 apply (zenon_L822_); trivial. % 1.69/1.79 apply (zenon_L229_); trivial. % 1.69/1.79 (* end of lemma zenon_L1911_ *) % 1.69/1.79 assert (zenon_L1912_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.79 do 0 intro. intros zenon_H11d zenon_H54 zenon_H127 zenon_H125 zenon_Hea zenon_He8 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.79 apply (zenon_L1100_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.79 apply (zenon_L676_); trivial. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.69/1.79 apply (zenon_L1911_); trivial. % 1.69/1.79 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.69/1.79 apply (zenon_L15_); trivial. % 1.69/1.79 exact (zenon_H125 zenon_H126). % 1.69/1.79 (* end of lemma zenon_L1912_ *) % 1.69/1.79 assert (zenon_L1913_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H124 zenon_Hea zenon_He8 zenon_H119 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H8c zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H127 zenon_H125 zenon_H2f0 zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1100_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L676_); trivial. % 1.69/1.80 apply (zenon_L1752_); trivial. % 1.69/1.80 apply (zenon_L1912_); trivial. % 1.69/1.80 (* end of lemma zenon_L1913_ *) % 1.69/1.80 assert (zenon_L1914_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1902_); trivial. % 1.69/1.80 apply (zenon_L1240_); trivial. % 1.69/1.80 (* end of lemma zenon_L1914_ *) % 1.69/1.80 assert (zenon_L1915_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1100_); trivial. % 1.69/1.80 apply (zenon_L1903_); trivial. % 1.69/1.80 (* end of lemma zenon_L1915_ *) % 1.69/1.80 assert (zenon_L1916_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1156_); trivial. % 1.69/1.80 apply (zenon_L1915_); trivial. % 1.69/1.80 (* end of lemma zenon_L1916_ *) % 1.69/1.80 assert (zenon_L1917_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1114_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1249_); trivial. % 1.69/1.80 apply (zenon_L660_); trivial. % 1.69/1.80 apply (zenon_L846_); trivial. % 1.69/1.80 (* end of lemma zenon_L1917_ *) % 1.69/1.80 assert (zenon_L1918_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1100_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L676_); trivial. % 1.69/1.80 apply (zenon_L726_); trivial. % 1.69/1.80 (* end of lemma zenon_L1918_ *) % 1.69/1.80 assert (zenon_L1919_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1156_); trivial. % 1.69/1.80 apply (zenon_L1918_); trivial. % 1.69/1.80 (* end of lemma zenon_L1919_ *) % 1.69/1.80 assert (zenon_L1920_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L200_); trivial. % 1.69/1.80 apply (zenon_L726_); trivial. % 1.69/1.80 (* end of lemma zenon_L1920_ *) % 1.69/1.80 assert (zenon_L1921_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H81 zenon_H54 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1249_); trivial. % 1.69/1.80 apply (zenon_L1920_); trivial. % 1.69/1.80 (* end of lemma zenon_L1921_ *) % 1.69/1.80 assert (zenon_L1922_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H8c zenon_H8a zenon_H1bc zenon_He8 zenon_Hea zenon_H2e zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H4d zenon_H50 zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1114_); trivial. % 1.69/1.80 apply (zenon_L1921_); trivial. % 1.69/1.80 (* end of lemma zenon_L1922_ *) % 1.69/1.80 assert (zenon_L1923_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.80 apply (zenon_L1892_); trivial. % 1.69/1.80 apply (zenon_L846_); trivial. % 1.69/1.80 (* end of lemma zenon_L1923_ *) % 1.69/1.80 assert (zenon_L1924_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H2c1 zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1919_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1922_); trivial. % 1.69/1.80 apply (zenon_L1923_); trivial. % 1.69/1.80 (* end of lemma zenon_L1924_ *) % 1.69/1.80 assert (zenon_L1925_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1283_); trivial. % 1.69/1.80 apply (zenon_L1923_); trivial. % 1.69/1.80 (* end of lemma zenon_L1925_ *) % 1.69/1.80 assert (zenon_L1926_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H8c zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1919_); trivial. % 1.69/1.80 apply (zenon_L1284_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1919_); trivial. % 1.69/1.80 apply (zenon_L1925_); trivial. % 1.69/1.80 (* end of lemma zenon_L1926_ *) % 1.69/1.80 assert (zenon_L1927_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H187 zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_H185 zenon_H86 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H2c1 zenon_H119 zenon_H11e zenon_H124 zenon_H138. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1919_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L155_); trivial. % 1.69/1.80 apply (zenon_L1917_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1919_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L155_); trivial. % 1.69/1.80 apply (zenon_L1923_); trivial. % 1.69/1.80 (* end of lemma zenon_L1927_ *) % 1.69/1.80 assert (zenon_L1928_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a832)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_Hd9 zenon_Hd8 zenon_Hd7 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.80 apply (zenon_L1105_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.80 apply (zenon_L882_); trivial. % 1.69/1.80 apply (zenon_L229_); trivial. % 1.69/1.80 (* end of lemma zenon_L1928_ *) % 1.69/1.80 assert (zenon_L1929_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H54 zenon_H1c4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1249_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_L950_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.69/1.80 apply (zenon_L1928_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.69/1.80 apply (zenon_L101_); trivial. % 1.69/1.80 exact (zenon_H125 zenon_H126). % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 (* end of lemma zenon_L1929_ *) % 1.69/1.80 assert (zenon_L1930_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.69/1.80 do 0 intro. intros zenon_H2f0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd8 zenon_Hd9 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.80 apply (zenon_L1928_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.80 apply (zenon_L1554_); trivial. % 1.69/1.80 apply (zenon_L108_); trivial. % 1.69/1.80 (* end of lemma zenon_L1930_ *) % 1.69/1.80 assert (zenon_L1931_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.69/1.80 do 0 intro. intros zenon_H11d zenon_H1c4 zenon_H28c zenon_H28d zenon_H28e zenon_H190 zenon_H191 zenon_H192 zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H2f0 zenon_H5. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_L950_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_L1930_); trivial. % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 (* end of lemma zenon_L1931_ *) % 1.69/1.80 assert (zenon_L1932_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H54. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1283_); trivial. % 1.69/1.80 apply (zenon_L1931_); trivial. % 1.69/1.80 (* end of lemma zenon_L1932_ *) % 1.69/1.80 assert (zenon_L1933_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H119 zenon_H1c4 zenon_H2c1 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H231 zenon_H124. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1890_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1156_); trivial. % 1.69/1.80 apply (zenon_L761_); trivial. % 1.69/1.80 apply (zenon_L1894_); trivial. % 1.69/1.80 (* end of lemma zenon_L1933_ *) % 1.69/1.80 assert (zenon_L1934_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1a9 zenon_H1d9 zenon_H165 zenon_H54 zenon_H209 zenon_H207 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H7e zenon_H55 zenon_H133 zenon_H138. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1254_); trivial. % 1.69/1.80 apply (zenon_L1250_); trivial. % 1.69/1.80 apply (zenon_L1261_); trivial. % 1.69/1.80 (* end of lemma zenon_L1934_ *) % 1.69/1.80 assert (zenon_L1935_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H192 zenon_H191 zenon_H190 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L758_); trivial. % 1.69/1.80 apply (zenon_L726_); trivial. % 1.69/1.80 (* end of lemma zenon_L1935_ *) % 1.69/1.80 assert (zenon_L1936_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H23b zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H190 zenon_H191 zenon_H192 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1156_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1100_); trivial. % 1.69/1.80 apply (zenon_L1935_); trivial. % 1.69/1.80 apply (zenon_L555_); trivial. % 1.69/1.80 (* end of lemma zenon_L1936_ *) % 1.69/1.80 assert (zenon_L1937_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H231 zenon_H55 zenon_H7e zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1890_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.80 apply (zenon_L1156_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L63_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L676_); trivial. % 1.69/1.80 apply (zenon_L1609_); trivial. % 1.69/1.80 (* end of lemma zenon_L1937_ *) % 1.69/1.80 assert (zenon_L1938_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H1f2 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H119 zenon_H124 zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H8c zenon_H80 zenon_H1bc zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2c1 zenon_H138. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1230_); trivial. % 1.69/1.80 apply (zenon_L215_); trivial. % 1.69/1.80 apply (zenon_L1284_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1890_); trivial. % 1.69/1.80 apply (zenon_L1907_); trivial. % 1.69/1.80 apply (zenon_L1905_); trivial. % 1.69/1.80 (* end of lemma zenon_L1938_ *) % 1.69/1.80 assert (zenon_L1939_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_Hd9 zenon_Hd7 zenon_H1bc zenon_He8 zenon_Hea zenon_H2e. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L200_); trivial. % 1.69/1.80 apply (zenon_L785_); trivial. % 1.69/1.80 (* end of lemma zenon_L1939_ *) % 1.69/1.80 assert (zenon_L1940_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H125 zenon_H127 zenon_H28e zenon_H28d zenon_H28c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1c2 zenon_H5 zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H71 zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1177_); trivial. % 1.69/1.80 apply (zenon_L1939_); trivial. % 1.69/1.80 (* end of lemma zenon_L1940_ *) % 1.69/1.80 assert (zenon_L1941_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_H55 zenon_H1a4 zenon_H119 zenon_Hd2 zenon_Hd4 zenon_H2c1 zenon_He8 zenon_Hea zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1259_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1940_); trivial. % 1.69/1.80 apply (zenon_L1277_); trivial. % 1.69/1.80 (* end of lemma zenon_L1941_ *) % 1.69/1.80 assert (zenon_L1942_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1c4 zenon_He8 zenon_H7e zenon_H28e zenon_H28d zenon_H28c zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H55 zenon_Hea zenon_Hb2 zenon_Hb0 zenon_H12 zenon_H20f zenon_H210 zenon_Hb4 zenon_H5. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.69/1.80 apply (zenon_L371_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.69/1.80 apply (zenon_L1896_); trivial. % 1.69/1.80 exact (zenon_He8 zenon_He9). % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_L371_); trivial. % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 (* end of lemma zenon_L1942_ *) % 1.69/1.80 assert (zenon_L1943_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a829)) -> (c1_1 (a829)) -> (c0_1 (a829)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.69/1.80 do 0 intro. intros zenon_H2f0 zenon_H55 zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb8 zenon_Hb7 zenon_Hb6 zenon_H42 zenon_H43 zenon_H44 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.80 apply (zenon_L999_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.80 apply (zenon_L1554_); trivial. % 1.69/1.80 apply (zenon_L108_); trivial. % 1.69/1.80 (* end of lemma zenon_L1943_ *) % 1.69/1.80 assert (zenon_L1944_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp15)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.69/1.80 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_He8 zenon_H28e zenon_H28d zenon_H28c zenon_Hea zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Heb ]. % 1.69/1.80 apply (zenon_L1943_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H2f | zenon_intro zenon_He9 ]. % 1.69/1.80 apply (zenon_L1896_); trivial. % 1.69/1.80 exact (zenon_He8 zenon_He9). % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_L1943_); trivial. % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 (* end of lemma zenon_L1944_ *) % 1.69/1.80 assert (zenon_L1945_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H4f zenon_Hc2 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hd9 zenon_Hd7 zenon_H71 zenon_Hea zenon_He8 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H55 zenon_H7e zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H5 zenon_H1c4. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.69/1.80 apply (zenon_L1942_); trivial. % 1.69/1.80 apply (zenon_L1944_); trivial. % 1.69/1.80 (* end of lemma zenon_L1945_ *) % 1.69/1.80 assert (zenon_L1946_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1ca zenon_Hc2 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hb2 zenon_Hb4 zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_Hea zenon_He8 zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.80 apply (zenon_L1941_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1259_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1940_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1177_); trivial. % 1.69/1.80 apply (zenon_L1945_); trivial. % 1.69/1.80 (* end of lemma zenon_L1946_ *) % 1.69/1.80 assert (zenon_L1947_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H138 zenon_H124 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H2c1 zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H40 zenon_H3c zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H127 zenon_H125 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1259_); trivial. % 1.69/1.80 apply (zenon_L1284_); trivial. % 1.69/1.80 (* end of lemma zenon_L1947_ *) % 1.69/1.80 assert (zenon_L1948_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.80 apply (zenon_L676_); trivial. % 1.69/1.80 apply (zenon_L1799_); trivial. % 1.69/1.80 (* end of lemma zenon_L1948_ *) % 1.69/1.80 assert (zenon_L1949_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1100_); trivial. % 1.69/1.80 apply (zenon_L1948_); trivial. % 1.69/1.80 (* end of lemma zenon_L1949_ *) % 1.69/1.80 assert (zenon_L1950_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.69/1.80 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H139 zenon_H13a zenon_H13b zenon_H28c zenon_H28d zenon_H28e zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.69/1.80 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_L823_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_L1943_); trivial. % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 (* end of lemma zenon_L1950_ *) % 1.69/1.80 assert (zenon_L1951_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a808))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_Hc2 zenon_H7e zenon_H55 zenon_H1a4 zenon_H119 zenon_Hb4 zenon_Hb2 zenon_H2c1 zenon_H13b zenon_H13a zenon_H139 zenon_H8c zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H1bc zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.80 apply (zenon_L1949_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.80 apply (zenon_L1283_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.80 apply (zenon_L1249_); trivial. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.80 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.80 apply (zenon_L823_); trivial. % 1.69/1.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.80 apply (zenon_L371_); trivial. % 1.69/1.80 exact (zenon_H5 zenon_H6). % 1.69/1.80 apply (zenon_L1950_); trivial. % 1.69/1.80 (* end of lemma zenon_L1951_ *) % 1.69/1.80 assert (zenon_L1952_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a808))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.80 do 0 intro. intros zenon_H1ca zenon_H57 zenon_H59 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H125 zenon_H127 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_Hea zenon_He8 zenon_H2c1 zenon_Hd4 zenon_H119 zenon_H1a4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.81 apply (zenon_L1941_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1949_); trivial. % 1.69/1.81 apply (zenon_L1240_); trivial. % 1.69/1.81 (* end of lemma zenon_L1952_ *) % 1.69/1.81 assert (zenon_L1953_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L475_); trivial. % 1.69/1.81 apply (zenon_L1948_); trivial. % 1.69/1.81 (* end of lemma zenon_L1953_ *) % 1.69/1.81 assert (zenon_L1954_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hf zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_H210 zenon_H20f zenon_H1c4 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1953_); trivial. % 1.69/1.81 apply (zenon_L1240_); trivial. % 1.69/1.81 (* end of lemma zenon_L1954_ *) % 1.69/1.81 assert (zenon_L1955_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H54 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H50 zenon_H4d zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40 zenon_H71 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.81 apply (zenon_L1114_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1177_); trivial. % 1.69/1.81 apply (zenon_L660_); trivial. % 1.69/1.81 apply (zenon_L846_); trivial. % 1.69/1.81 (* end of lemma zenon_L1955_ *) % 1.69/1.81 assert (zenon_L1956_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H80 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H231 zenon_H12c zenon_H12b zenon_H12a zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb2 zenon_Hb4 zenon_H40 zenon_H3c zenon_Hd zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.81 apply (zenon_L1156_); trivial. % 1.69/1.81 apply (zenon_L1720_); trivial. % 1.69/1.81 (* end of lemma zenon_L1956_ *) % 1.69/1.81 assert (zenon_L1957_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H124 zenon_H1c4 zenon_H231 zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_Hc2 zenon_H2e zenon_H71 zenon_Hf zenon_Hb4 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H4d zenon_H50 zenon_H54 zenon_Hb2 zenon_H1f2 zenon_H11e. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.81 apply (zenon_L1890_); trivial. % 1.69/1.81 apply (zenon_L1956_); trivial. % 1.69/1.81 (* end of lemma zenon_L1957_ *) % 1.69/1.81 assert (zenon_L1958_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H2c1 zenon_H11e zenon_H1f2 zenon_Hb2 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_Hb4 zenon_Hf zenon_H71 zenon_H2e zenon_Hc2 zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_Hea zenon_He8 zenon_H20f zenon_H210 zenon_H231 zenon_H1c4 zenon_H124. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1957_); trivial. % 1.69/1.81 apply (zenon_L1250_); trivial. % 1.69/1.81 (* end of lemma zenon_L1958_ *) % 1.69/1.81 assert (zenon_L1959_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_H71 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_L1725_); trivial. % 1.69/1.81 (* end of lemma zenon_L1959_ *) % 1.69/1.81 assert (zenon_L1960_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a869))) -> (c2_1 (a869)) -> (c3_1 (a869)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H5c zenon_H5d zenon_H5e zenon_H71 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L758_); trivial. % 1.69/1.81 apply (zenon_L1241_); trivial. % 1.69/1.81 (* end of lemma zenon_L1960_ *) % 1.69/1.81 assert (zenon_L1961_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c1_1 (a795))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H138 zenon_H2c1 zenon_H2b5 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H7e zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H80. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.81 apply (zenon_L55_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L27_); trivial. % 1.69/1.81 apply (zenon_L1960_); trivial. % 1.69/1.81 apply (zenon_L1240_); trivial. % 1.69/1.81 (* end of lemma zenon_L1961_ *) % 1.69/1.81 assert (zenon_L1962_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H81 zenon_H54 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L758_); trivial. % 1.69/1.81 apply (zenon_L1149_); trivial. % 1.69/1.81 (* end of lemma zenon_L1962_ *) % 1.69/1.81 assert (zenon_L1963_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a817))) -> (c2_1 (a817)) -> (c3_1 (a817)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H139 zenon_H13a zenon_H13b zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.81 apply (zenon_L476_); trivial. % 1.69/1.81 apply (zenon_L1962_); trivial. % 1.69/1.81 (* end of lemma zenon_L1963_ *) % 1.69/1.81 assert (zenon_L1964_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H16f zenon_H161 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H4d zenon_H50 zenon_H54 zenon_H8c zenon_H2c1 zenon_Hd4 zenon_H124 zenon_H138. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1963_); trivial. % 1.69/1.81 apply (zenon_L1284_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1963_); trivial. % 1.69/1.81 apply (zenon_L1905_); trivial. % 1.69/1.81 (* end of lemma zenon_L1964_ *) % 1.69/1.81 assert (zenon_L1965_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_He8 zenon_Hea zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L676_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.81 apply (zenon_L383_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.81 apply (zenon_L331_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.81 apply (zenon_L1554_); trivial. % 1.69/1.81 apply (zenon_L1871_); trivial. % 1.69/1.81 exact (zenon_H5 zenon_H6). % 1.69/1.81 (* end of lemma zenon_L1965_ *) % 1.69/1.81 assert (zenon_L1966_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H13b zenon_H13a zenon_H139 zenon_H2f0 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H133 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H55 zenon_H7e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L758_); trivial. % 1.69/1.81 apply (zenon_L1628_); trivial. % 1.69/1.81 (* end of lemma zenon_L1966_ *) % 1.69/1.81 assert (zenon_L1967_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H7e zenon_H55 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H133 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H71 zenon_H210 zenon_H20f zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1c4 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1966_); trivial. % 1.69/1.81 apply (zenon_L1240_); trivial. % 1.69/1.81 (* end of lemma zenon_L1967_ *) % 1.69/1.81 assert (zenon_L1968_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_He8 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H1dc zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.69/1.81 apply (zenon_L410_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.69/1.81 apply (zenon_L558_); trivial. % 1.69/1.81 apply (zenon_L933_); trivial. % 1.69/1.81 (* end of lemma zenon_L1968_ *) % 1.69/1.81 assert (zenon_L1969_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp15)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (c0_1 (a796)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (ndr1_0) -> (c0_1 (a829)) -> (c2_1 (a829)) -> (c1_1 (a829)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H30 zenon_H31 zenon_H32 zenon_H2b4 zenon_H2b6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_He8 zenon_H43 zenon_H44 zenon_H71 zenon_H210 zenon_H20f zenon_H42 zenon_Hea zenon_H12 zenon_Hb6 zenon_Hb8 zenon_Hb7. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.81 apply (zenon_L1106_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.81 apply (zenon_L544_); trivial. % 1.69/1.81 apply (zenon_L1968_); trivial. % 1.69/1.81 (* end of lemma zenon_L1969_ *) % 1.69/1.81 assert (zenon_L1970_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H2c1 zenon_H40 zenon_H3c zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H165 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.69/1.81 apply (zenon_L410_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.69/1.81 apply (zenon_L117_); trivial. % 1.69/1.81 apply (zenon_L19_); trivial. % 1.69/1.81 apply (zenon_L1130_); trivial. % 1.69/1.81 (* end of lemma zenon_L1970_ *) % 1.69/1.81 assert (zenon_L1971_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (c0_1 (a829)) -> (c1_1 (a829)) -> (c2_1 (a829)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H155 zenon_H32 zenon_H31 zenon_H30 zenon_Hb6 zenon_Hb7 zenon_Hb8 zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_Hf0 zenon_H147 zenon_H12 zenon_H153. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H156 ]. % 1.69/1.81 apply (zenon_L820_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14f | zenon_intro zenon_H154 ]. % 1.69/1.81 apply (zenon_L127_); trivial. % 1.69/1.81 exact (zenon_H153 zenon_H154). % 1.69/1.81 (* end of lemma zenon_L1971_ *) % 1.69/1.81 assert (zenon_L1972_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp28)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a867)) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H71 zenon_H210 zenon_H20f zenon_Hd8 zenon_Hb zenon_H65 zenon_H1f6 zenon_H1f5 zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5b | zenon_intro zenon_H72 ]. % 1.69/1.81 apply (zenon_L297_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6b | zenon_intro zenon_H1d ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H73 | zenon_intro zenon_H1bd ]. % 1.69/1.81 apply (zenon_L34_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1d | zenon_intro zenon_Hc ]. % 1.69/1.81 apply (zenon_L529_); trivial. % 1.69/1.81 exact (zenon_Hb zenon_Hc). % 1.69/1.81 apply (zenon_L11_); trivial. % 1.69/1.81 (* end of lemma zenon_L1972_ *) % 1.69/1.81 assert (zenon_L1973_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (c0_1 (a867)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(hskp28)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_H2b4 zenon_H20 zenon_H1f zenon_H1e zenon_H1bc zenon_H44 zenon_H43 zenon_H42 zenon_H1f5 zenon_H1f6 zenon_Hb zenon_Hd8 zenon_H20f zenon_H210 zenon_H71 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.81 apply (zenon_L1105_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.81 apply (zenon_L1972_); trivial. % 1.69/1.81 apply (zenon_L229_); trivial. % 1.69/1.81 (* end of lemma zenon_L1973_ *) % 1.69/1.81 assert (zenon_L1974_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp28)) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H29 zenon_H23b zenon_H71 zenon_H210 zenon_H20f zenon_Hb zenon_H42 zenon_H43 zenon_H44 zenon_H1bc zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H23c ]. % 1.69/1.81 apply (zenon_L1973_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1dc ]. % 1.69/1.81 apply (zenon_L279_); trivial. % 1.69/1.81 apply (zenon_L229_); trivial. % 1.69/1.81 (* end of lemma zenon_L1974_ *) % 1.69/1.81 assert (zenon_L1975_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp28)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (ndr1_0) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H2e zenon_H23b zenon_H1f4 zenon_H2b4 zenon_H2b6 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_Hb zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H12 zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.69/1.81 apply (zenon_L46_); trivial. % 1.69/1.81 apply (zenon_L1974_); trivial. % 1.69/1.81 (* end of lemma zenon_L1975_ *) % 1.69/1.81 assert (zenon_L1976_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a795))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a795))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (ndr1_0) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1e2 zenon_H2b6 zenon_Hd8 zenon_H2b4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H12 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1e3 ]. % 1.69/1.81 apply (zenon_L1105_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H65 | zenon_intro zenon_H1dc ]. % 1.69/1.81 apply (zenon_L545_); trivial. % 1.69/1.81 apply (zenon_L229_); trivial. % 1.69/1.81 (* end of lemma zenon_L1976_ *) % 1.69/1.81 assert (zenon_L1977_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a809)) -> (c1_1 (a809)) -> (~(c0_1 (a809))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H81 zenon_H1c4 zenon_H4d zenon_H109 zenon_H10d zenon_H1ae zenon_H1dd zenon_H1ad zenon_H231 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.69/1.81 apply (zenon_L94_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.69/1.81 apply (zenon_L1976_); trivial. % 1.69/1.81 exact (zenon_H5 zenon_H6). % 1.69/1.81 (* end of lemma zenon_L1977_ *) % 1.69/1.81 assert (zenon_L1978_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H11e zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_Hd zenon_H3c zenon_H40 zenon_H10d zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H231 zenon_H5 zenon_H1c4 zenon_H80. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.69/1.81 apply (zenon_L1156_); trivial. % 1.69/1.81 apply (zenon_L1977_); trivial. % 1.69/1.81 apply (zenon_L733_); trivial. % 1.69/1.81 (* end of lemma zenon_L1978_ *) % 1.69/1.81 assert (zenon_L1979_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H54 zenon_Hc2 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H165 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H231 zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L343_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.81 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.69/1.81 apply (zenon_L372_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.69/1.81 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.69/1.81 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.69/1.81 apply (zenon_L396_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.69/1.81 apply (zenon_L1554_); trivial. % 1.69/1.81 apply (zenon_L1969_); trivial. % 1.69/1.81 apply (zenon_L1130_); trivial. % 1.69/1.81 apply (zenon_L1970_); trivial. % 1.69/1.81 (* end of lemma zenon_L1979_ *) % 1.69/1.81 assert (zenon_L1980_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H2f0 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_Hd zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L343_); trivial. % 1.69/1.81 apply (zenon_L1886_); trivial. % 1.69/1.81 (* end of lemma zenon_L1980_ *) % 1.69/1.81 assert (zenon_L1981_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_L1980_); trivial. % 1.69/1.81 (* end of lemma zenon_L1981_ *) % 1.69/1.81 assert (zenon_L1982_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> False). % 1.69/1.81 do 0 intro. intros zenon_H3b zenon_H165 zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H1c0 zenon_H1be zenon_H231 zenon_H13b zenon_H13a zenon_H139 zenon_H42 zenon_H43 zenon_H44. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H157 | zenon_intro zenon_H166 ]. % 1.69/1.81 apply (zenon_L404_); trivial. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H73 | zenon_intro zenon_H41 ]. % 1.69/1.81 apply (zenon_L117_); trivial. % 1.69/1.81 apply (zenon_L19_); trivial. % 1.69/1.81 (* end of lemma zenon_L1982_ *) % 1.69/1.81 assert (zenon_L1983_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H4f zenon_H40 zenon_H165 zenon_H13b zenon_H13a zenon_H139 zenon_H231 zenon_Hf zenon_Hd zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1bc zenon_H2e. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L401_); trivial. % 1.69/1.81 apply (zenon_L1982_); trivial. % 1.69/1.81 (* end of lemma zenon_L1983_ *) % 1.69/1.81 assert (zenon_L1984_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a817)) -> (c2_1 (a817)) -> (~(c1_1 (a817))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H165 zenon_H231 zenon_H1c0 zenon_H1be zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2e zenon_H1bc zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L475_); trivial. % 1.69/1.81 apply (zenon_L1983_); trivial. % 1.69/1.81 (* end of lemma zenon_L1984_ *) % 1.69/1.81 assert (zenon_L1985_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H138 zenon_H102 zenon_H1 zenon_H246 zenon_H245 zenon_H244 zenon_H40 zenon_H3c zenon_Hf zenon_H1bc zenon_H2e zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1be zenon_H1c0 zenon_H231 zenon_H165 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1984_); trivial. % 1.69/1.81 apply (zenon_L408_); trivial. % 1.69/1.81 (* end of lemma zenon_L1985_ *) % 1.69/1.81 assert (zenon_L1986_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H1d8 zenon_H18b zenon_H231 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H165 zenon_H54 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H2c1 zenon_H138. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L1981_); trivial. % 1.69/1.81 apply (zenon_L1130_); trivial. % 1.69/1.81 apply (zenon_L1970_); trivial. % 1.69/1.81 (* end of lemma zenon_L1986_ *) % 1.69/1.81 assert (zenon_L1987_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.69/1.81 apply (zenon_L1285_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.69/1.81 apply (zenon_L943_); trivial. % 1.69/1.81 apply (zenon_L1905_); trivial. % 1.69/1.81 (* end of lemma zenon_L1987_ *) % 1.69/1.81 assert (zenon_L1988_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2c1 zenon_Hd9 zenon_Hd7 zenon_Hfd zenon_H5 zenon_H1c2 zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H7e zenon_H55 zenon_H12a zenon_H12b zenon_H12c zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L1739_); trivial. % 1.69/1.81 apply (zenon_L1239_); trivial. % 1.69/1.81 (* end of lemma zenon_L1988_ *) % 1.69/1.81 assert (zenon_L1989_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H54 zenon_H1d6 zenon_H161 zenon_H25a zenon_H258 zenon_H264 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H1bc zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.69/1.81 apply (zenon_L1100_); trivial. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.69/1.81 apply (zenon_L676_); trivial. % 1.69/1.81 apply (zenon_L866_); trivial. % 1.69/1.81 (* end of lemma zenon_L1989_ *) % 1.69/1.81 assert (zenon_L1990_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.81 apply (zenon_L1273_); trivial. % 1.69/1.81 apply (zenon_L1917_); trivial. % 1.69/1.81 (* end of lemma zenon_L1990_ *) % 1.69/1.81 assert (zenon_L1991_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.69/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.69/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.69/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.69/1.81 apply (zenon_L1273_); trivial. % 1.69/1.81 apply (zenon_L1923_); trivial. % 1.72/1.81 (* end of lemma zenon_L1991_ *) % 1.72/1.81 assert (zenon_L1992_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.72/1.81 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H11e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.81 apply (zenon_L905_); trivial. % 1.72/1.81 apply (zenon_L1991_); trivial. % 1.72/1.81 (* end of lemma zenon_L1992_ *) % 1.72/1.81 assert (zenon_L1993_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.72/1.81 do 0 intro. intros zenon_H124 zenon_H40 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.72/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.81 apply (zenon_L155_); trivial. % 1.72/1.81 apply (zenon_L500_); trivial. % 1.72/1.81 (* end of lemma zenon_L1993_ *) % 1.72/1.81 assert (zenon_L1994_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.72/1.81 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H11e zenon_H119 zenon_H50 zenon_H4d zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.72/1.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.81 apply (zenon_L1285_); trivial. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.81 apply (zenon_L1993_); trivial. % 1.72/1.81 apply (zenon_L1925_); trivial. % 1.72/1.81 (* end of lemma zenon_L1994_ *) % 1.72/1.81 assert (zenon_L1995_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.72/1.81 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.72/1.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.72/1.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.81 apply (zenon_L1273_); trivial. % 1.72/1.81 apply (zenon_L1929_); trivial. % 1.72/1.81 (* end of lemma zenon_L1995_ *) % 1.72/1.81 assert (zenon_L1996_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_Hea zenon_He8 zenon_H1bc zenon_H8c zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H54. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L1273_); trivial. % 1.72/1.82 apply (zenon_L1931_); trivial. % 1.72/1.82 (* end of lemma zenon_L1996_ *) % 1.72/1.82 assert (zenon_L1997_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(c1_1 (a799))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H138 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2c1 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_He8 zenon_H8c zenon_H54 zenon_H2e zenon_H1bc zenon_H264 zenon_H25a zenon_H258 zenon_H133 zenon_Hf zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H153 zenon_H155 zenon_H40. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L905_); trivial. % 1.72/1.82 apply (zenon_L1996_); trivial. % 1.72/1.82 (* end of lemma zenon_L1997_ *) % 1.72/1.82 assert (zenon_L1998_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H40 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H1bc zenon_H2e zenon_H54 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H2c1 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124 zenon_H138. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1285_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L943_); trivial. % 1.72/1.82 apply (zenon_L1932_); trivial. % 1.72/1.82 (* end of lemma zenon_L1998_ *) % 1.72/1.82 assert (zenon_L1999_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H187 zenon_H18b zenon_H138 zenon_H1c4 zenon_H7e zenon_H55 zenon_Hd4 zenon_H125 zenon_H127 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_Hea zenon_H1bc zenon_H8c zenon_H54 zenon_H185 zenon_H86 zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H40 zenon_H124 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1ca. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1993_); trivial. % 1.72/1.82 apply (zenon_L1995_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1993_); trivial. % 1.72/1.82 apply (zenon_L1996_); trivial. % 1.72/1.82 apply (zenon_L1998_); trivial. % 1.72/1.82 (* end of lemma zenon_L1999_ *) % 1.72/1.82 assert (zenon_L2000_ : ((ndr1_0)/\((c0_1 (a816))/\((~(c1_1 (a816)))/\(~(c2_1 (a816)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H187 zenon_H138 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H1c2 zenon_H185 zenon_H86 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H59 zenon_H57 zenon_H55 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1c0 zenon_H1be zenon_H5 zenon_H1c4 zenon_H80 zenon_H124. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1174_); trivial. % 1.72/1.82 apply (zenon_L1240_); trivial. % 1.72/1.82 (* end of lemma zenon_L2000_ *) % 1.72/1.82 assert (zenon_L2001_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H138 zenon_H2c1 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_H55 zenon_H57 zenon_H59 zenon_H54 zenon_H50 zenon_H4d zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H71 zenon_H165 zenon_H80. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1158_); trivial. % 1.72/1.82 apply (zenon_L1240_); trivial. % 1.72/1.82 (* end of lemma zenon_L2001_ *) % 1.72/1.82 assert (zenon_L2002_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp15)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H148 zenon_H147 zenon_H1a4 zenon_H28c zenon_H28d zenon_H28e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_He8 zenon_H2b4 zenon_H2b6 zenon_Hea zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1ad zenon_H1dd zenon_H1ae. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1911_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L1871_); trivial. % 1.72/1.82 (* end of lemma zenon_L2002_ *) % 1.72/1.82 assert (zenon_L2003_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H40 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H55 zenon_H57 zenon_H59 zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L155_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L26_); trivial. % 1.72/1.82 apply (zenon_L2002_); trivial. % 1.72/1.82 (* end of lemma zenon_L2003_ *) % 1.72/1.82 assert (zenon_L2004_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H40 zenon_H2f0 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L498_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L950_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L1871_); trivial. % 1.72/1.82 (* end of lemma zenon_L2004_ *) % 1.72/1.82 assert (zenon_L2005_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (ndr1_0) -> (~(c1_1 (a816))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H40 zenon_H2f0 zenon_Hea zenon_He8 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H119 zenon_H28e zenon_H28d zenon_H28c zenon_H148 zenon_H147 zenon_H1a4 zenon_Hf zenon_Hd zenon_H190 zenon_H191 zenon_H192 zenon_H1c0 zenon_H1be zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H2e zenon_H12 zenon_H17c zenon_H17d zenon_H17e zenon_H86 zenon_H185. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L155_); trivial. % 1.72/1.82 apply (zenon_L2004_); trivial. % 1.72/1.82 (* end of lemma zenon_L2005_ *) % 1.72/1.82 assert (zenon_L2006_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp20)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a816))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H185 zenon_H86 zenon_H17e zenon_H17d zenon_H17c zenon_H12 zenon_H2e zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1be zenon_H1c0 zenon_H192 zenon_H191 zenon_H190 zenon_Hf zenon_H1a4 zenon_H147 zenon_H148 zenon_H28c zenon_H28d zenon_H28e zenon_H119 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2b4 zenon_H2b6 zenon_He8 zenon_Hea zenon_H2f0 zenon_H40 zenon_H124. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L2005_); trivial. % 1.72/1.82 apply (zenon_L555_); trivial. % 1.72/1.82 (* end of lemma zenon_L2006_ *) % 1.72/1.82 assert (zenon_L2007_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp28)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a796)) -> (c2_1 (a796)) -> (c0_1 (a796)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.72/1.82 do 0 intro. intros zenon_Hbf zenon_H1c4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_Hb zenon_H28c zenon_H28d zenon_H28e zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H1a4 zenon_H147 zenon_H148 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H44 zenon_H43 zenon_H42 zenon_H20f zenon_H210 zenon_H71 zenon_H55 zenon_H2f0 zenon_H5. % 1.72/1.82 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.72/1.82 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.72/1.82 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.72/1.82 apply (zenon_L1738_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.72/1.82 apply (zenon_L1943_); trivial. % 1.72/1.82 exact (zenon_H5 zenon_H6). % 1.72/1.82 (* end of lemma zenon_L2007_ *) % 1.72/1.82 assert (zenon_L2008_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(c1_1 (a832))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H54 zenon_H1c4 zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H119 zenon_H148 zenon_H147 zenon_H1a4 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H55 zenon_H7e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H71 zenon_Hc2 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_Hfd zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H40. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.72/1.82 apply (zenon_L1249_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.72/1.82 apply (zenon_L1738_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.72/1.82 apply (zenon_L371_); trivial. % 1.72/1.82 exact (zenon_H5 zenon_H6). % 1.72/1.82 apply (zenon_L2007_); trivial. % 1.72/1.82 apply (zenon_L1239_); trivial. % 1.72/1.82 (* end of lemma zenon_L2008_ *) % 1.72/1.82 assert (zenon_L2009_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1ca zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H54 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H28c zenon_H28d zenon_H28e zenon_H5 zenon_H1c2 zenon_Hf zenon_H71 zenon_H1bc zenon_H210 zenon_H20f zenon_He8 zenon_Hea zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_H3c zenon_H40 zenon_H8c zenon_H2c1 zenon_H80 zenon_H127 zenon_H125 zenon_Hd4 zenon_H55 zenon_H7e zenon_H10d zenon_H4d zenon_H50 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H11e zenon_H124 zenon_H138. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1288_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L1273_); trivial. % 1.72/1.82 apply (zenon_L1955_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1288_); trivial. % 1.72/1.82 apply (zenon_L1991_); trivial. % 1.72/1.82 (* end of lemma zenon_L2009_ *) % 1.72/1.82 assert (zenon_L2010_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a869))) -> (c3_1 (a869)) -> (c2_1 (a869)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H5c zenon_H5e zenon_H5d zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H23b zenon_H2e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L1975_); trivial. % 1.72/1.82 apply (zenon_L1183_); trivial. % 1.72/1.82 (* end of lemma zenon_L2010_ *) % 1.72/1.82 assert (zenon_L2011_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H1be zenon_H1c0 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_Hd zenon_H3c zenon_H40 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H23b zenon_H1f4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H8c zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_H5 zenon_H1c4 zenon_H80. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.72/1.82 apply (zenon_L55_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.72/1.82 apply (zenon_L1100_); trivial. % 1.72/1.82 apply (zenon_L2010_); trivial. % 1.72/1.82 apply (zenon_L1167_); trivial. % 1.72/1.82 (* end of lemma zenon_L2011_ *) % 1.72/1.82 assert (zenon_L2012_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a796)) -> (c2_1 (a796)) -> (c3_1 (a796)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2e zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H42 zenon_H43 zenon_H44 zenon_H8a zenon_H8c. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.72/1.82 apply (zenon_L46_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.72/1.82 apply (zenon_L383_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.72/1.82 apply (zenon_L1181_); trivial. % 1.72/1.82 exact (zenon_H5 zenon_H6). % 1.72/1.82 (* end of lemma zenon_L2012_ *) % 1.72/1.82 assert (zenon_L2013_ : ((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a795))) -> (~(c0_1 (a795))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H4f zenon_H40 zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H2b6 zenon_H2b4 zenon_H1f4 zenon_H23b zenon_H2e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L1975_); trivial. % 1.72/1.82 apply (zenon_L2012_); trivial. % 1.72/1.82 (* end of lemma zenon_L2013_ *) % 1.72/1.82 assert (zenon_L2014_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H54 zenon_H1c4 zenon_H5 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H8c zenon_H8a zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H20f zenon_H210 zenon_H1bc zenon_H1f5 zenon_H1f6 zenon_H71 zenon_H1f4 zenon_H23b zenon_H2e zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H12 zenon_Hd zenon_H3c zenon_H40. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.72/1.82 apply (zenon_L1100_); trivial. % 1.72/1.82 apply (zenon_L2013_); trivial. % 1.72/1.82 (* end of lemma zenon_L2014_ *) % 1.72/1.82 assert (zenon_L2015_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp12)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp13)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H20f zenon_H210 zenon_H71 zenon_H148 zenon_H147 zenon_H23b zenon_H1ae zenon_H1dd zenon_H1ad zenon_H155 zenon_H1be zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H25a zenon_H258 zenon_H264 zenon_H153 zenon_H2b4 zenon_H2b6 zenon_H1e2 zenon_H5. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.72/1.82 apply (zenon_L383_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.72/1.82 apply (zenon_L1115_); trivial. % 1.72/1.82 exact (zenon_H5 zenon_H6). % 1.72/1.82 (* end of lemma zenon_L2015_ *) % 1.72/1.82 assert (zenon_L2016_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a795))) -> (~(c3_1 (a795))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H11d zenon_H40 zenon_H1c4 zenon_H5 zenon_H2b4 zenon_H2b6 zenon_H25a zenon_H258 zenon_H264 zenon_H1be zenon_H1c0 zenon_H1e2 zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H20f zenon_H210 zenon_H71 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H23b zenon_H55 zenon_H57 zenon_H59. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L26_); trivial. % 1.72/1.82 apply (zenon_L2015_); trivial. % 1.72/1.82 (* end of lemma zenon_L2016_ *) % 1.72/1.82 assert (zenon_L2017_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a795))) -> (~(c1_1 (a795))) -> (~(c3_1 (a795))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c2_1 (a803))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H124 zenon_H1be zenon_H1c0 zenon_H55 zenon_H57 zenon_H59 zenon_H40 zenon_H3c zenon_Hd zenon_H12 zenon_H2b4 zenon_H2b5 zenon_H2b6 zenon_H2bf zenon_H2e zenon_H23b zenon_H1f4 zenon_H71 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H210 zenon_H20f zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H8c zenon_H147 zenon_H148 zenon_H153 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H5 zenon_H1c4 zenon_H54. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L2014_); trivial. % 1.72/1.82 apply (zenon_L2016_); trivial. % 1.72/1.82 (* end of lemma zenon_L2017_ *) % 1.72/1.82 assert (zenon_L2018_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H20b zenon_H1c4 zenon_H8c zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H124 zenon_H138 zenon_H23b zenon_H5 zenon_H1c2 zenon_H54 zenon_H50 zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H80 zenon_H2c1 zenon_Hea zenon_H20f zenon_H210 zenon_H71 zenon_H165 zenon_H18b zenon_H1d9. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_L1876_); trivial. % 1.72/1.82 apply (zenon_L1179_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L2014_); trivial. % 1.72/1.82 apply (zenon_L500_); trivial. % 1.72/1.82 apply (zenon_L555_); trivial. % 1.72/1.82 apply (zenon_L1179_); trivial. % 1.72/1.82 apply (zenon_L1192_); trivial. % 1.72/1.82 (* end of lemma zenon_L2018_ *) % 1.72/1.82 assert (zenon_L2019_ : ((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H178 zenon_H1ca zenon_H54 zenon_H2e zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H8c zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40 zenon_Hd4 zenon_H55 zenon_H7e zenon_H124. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.72/1.82 apply (zenon_L1880_); trivial. % 1.72/1.82 apply (zenon_L215_); trivial. % 1.72/1.82 apply (zenon_L1671_); trivial. % 1.72/1.82 (* end of lemma zenon_L2019_ *) % 1.72/1.82 assert (zenon_L2020_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a817))/\((c3_1 (a817))/\(~(c1_1 (a817))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a795))) -> (~(c1_1 (a795))) -> (~(c0_1 (a795))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H18b zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H54 zenon_H165 zenon_H71 zenon_H210 zenon_H20f zenon_Hea zenon_H2bf zenon_H2b6 zenon_H2b5 zenon_H2b4 zenon_H3c zenon_H40 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H2c1 zenon_H138. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_L1175_); trivial. % 1.72/1.82 apply (zenon_L1130_); trivial. % 1.72/1.82 apply (zenon_L1693_); trivial. % 1.72/1.82 (* end of lemma zenon_L2020_ *) % 1.72/1.82 assert (zenon_L2021_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp17)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H127 zenon_H55 zenon_Hd2 zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H125. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H128 ]. % 1.72/1.82 apply (zenon_L1350_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2f | zenon_intro zenon_H126 ]. % 1.72/1.82 apply (zenon_L15_); trivial. % 1.72/1.82 exact (zenon_H125 zenon_H126). % 1.72/1.82 (* end of lemma zenon_L2021_ *) % 1.72/1.82 assert (zenon_L2022_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp17)) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H40 zenon_H127 zenon_H125 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hd4 zenon_Hd2 zenon_H1ae zenon_H1ad zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L26_); trivial. % 1.72/1.82 apply (zenon_L2021_); trivial. % 1.72/1.82 (* end of lemma zenon_L2022_ *) % 1.72/1.82 assert (zenon_L2023_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_H1be zenon_H231 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1459_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L108_); trivial. % 1.72/1.82 (* end of lemma zenon_L2023_ *) % 1.72/1.82 assert (zenon_L2024_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H231 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L26_); trivial. % 1.72/1.82 apply (zenon_L2023_); trivial. % 1.72/1.82 (* end of lemma zenon_L2024_ *) % 1.72/1.82 assert (zenon_L2025_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H1ad zenon_H1ae zenon_H1cb zenon_H1cc zenon_H1cd zenon_H231 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1352_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L108_); trivial. % 1.72/1.82 (* end of lemma zenon_L2025_ *) % 1.72/1.82 assert (zenon_L2026_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (ndr1_0) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H32 zenon_H31 zenon_H30 zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12 zenon_H12a zenon_H12b zenon_H12c. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L192_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L108_); trivial. % 1.72/1.82 (* end of lemma zenon_L2026_ *) % 1.72/1.82 assert (zenon_L2027_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H3b zenon_H2e0 zenon_H1dd zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.72/1.82 apply (zenon_L1389_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.72/1.82 apply (zenon_L161_); trivial. % 1.72/1.82 apply (zenon_L2026_); trivial. % 1.72/1.82 (* end of lemma zenon_L2027_ *) % 1.72/1.82 assert (zenon_L2028_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (ndr1_0) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1c4 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H12c zenon_H12b zenon_H12a zenon_H12 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H119 zenon_H1ae zenon_H1ad zenon_Ha0 zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2f0 zenon_H5. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.72/1.82 apply (zenon_L1363_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1362_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L108_); trivial. % 1.72/1.82 exact (zenon_H5 zenon_H6). % 1.72/1.82 (* end of lemma zenon_L2028_ *) % 1.72/1.82 assert (zenon_L2029_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H2e0 zenon_H1dd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H1c4 zenon_H1be zenon_H2cb zenon_H2cc zenon_H2cd zenon_H21d zenon_H12c zenon_H12b zenon_H12a zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_H2f0 zenon_H5. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.72/1.82 apply (zenon_L1389_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.72/1.82 apply (zenon_L161_); trivial. % 1.72/1.82 apply (zenon_L2028_); trivial. % 1.72/1.82 (* end of lemma zenon_L2029_ *) % 1.72/1.82 assert (zenon_L2030_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H2e0 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H16e zenon_He4. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.72/1.82 apply (zenon_L1389_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.72/1.82 apply (zenon_L161_); trivial. % 1.72/1.82 apply (zenon_L148_); trivial. % 1.72/1.82 (* end of lemma zenon_L2030_ *) % 1.72/1.82 assert (zenon_L2031_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c0_1 (a809))) -> (c1_1 (a809)) -> (c2_1 (a809)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1b9 zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L223_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L108_); trivial. % 1.72/1.82 (* end of lemma zenon_L2031_ *) % 1.72/1.82 assert (zenon_L2032_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp4))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_H119 zenon_H155 zenon_H16e zenon_H1d9 zenon_H138 zenon_H80 zenon_H1c4 zenon_H5 zenon_H1 zenon_H102 zenon_H103 zenon_H21d zenon_He4 zenon_He6 zenon_H50 zenon_H54 zenon_H2e zenon_Hf zenon_H1e2 zenon_H2e0 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H231 zenon_H1c0 zenon_H59 zenon_H55 zenon_Haa zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H125 zenon_H127 zenon_H40 zenon_H20b. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L2022_); trivial. % 1.72/1.82 apply (zenon_L2024_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L2022_); trivial. % 1.72/1.82 apply (zenon_L2025_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1436_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L1439_); trivial. % 1.72/1.82 apply (zenon_L2023_); trivial. % 1.72/1.82 apply (zenon_L1361_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1436_); trivial. % 1.72/1.82 apply (zenon_L2025_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1436_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.72/1.82 apply (zenon_L1439_); trivial. % 1.72/1.82 apply (zenon_L2027_); trivial. % 1.72/1.82 apply (zenon_L2029_); trivial. % 1.72/1.82 apply (zenon_L2030_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1436_); trivial. % 1.72/1.82 apply (zenon_L2031_); trivial. % 1.72/1.82 apply (zenon_L1337_); trivial. % 1.72/1.82 (* end of lemma zenon_L2032_ *) % 1.72/1.82 assert (zenon_L2033_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a814))) -> (c1_1 (a814)) -> (~(c3_1 (a814))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.72/1.82 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H16e zenon_H158 zenon_H15a zenon_H159 zenon_H12 zenon_He4. % 1.72/1.82 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.72/1.82 apply (zenon_L1316_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.72/1.82 apply (zenon_L544_); trivial. % 1.72/1.82 apply (zenon_L148_); trivial. % 1.72/1.82 (* end of lemma zenon_L2033_ *) % 1.72/1.82 assert (zenon_L2034_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H18c zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H16e zenon_He4. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1331_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L2033_); trivial. % 1.72/1.82 (* end of lemma zenon_L2034_ *) % 1.72/1.82 assert (zenon_L2035_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.72/1.82 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.72/1.82 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.72/1.82 apply (zenon_L1316_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.72/1.82 apply (zenon_L544_); trivial. % 1.72/1.82 apply (zenon_L175_); trivial. % 1.72/1.82 (* end of lemma zenon_L2035_ *) % 1.72/1.82 assert (zenon_L2036_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.72/1.82 do 0 intro. intros zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_H12 zenon_Hd2 zenon_H55. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L1350_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L2035_); trivial. % 1.72/1.82 (* end of lemma zenon_L2036_ *) % 1.72/1.82 assert (zenon_L2037_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1e2 zenon_H2e0 zenon_H1ca zenon_H40 zenon_H231 zenon_H1c0 zenon_H59 zenon_Haa zenon_H55 zenon_Hd4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2f0 zenon_H20b. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L2036_); trivial. % 1.72/1.82 apply (zenon_L2024_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L2036_); trivial. % 1.72/1.82 apply (zenon_L2025_); trivial. % 1.72/1.82 apply (zenon_L1393_); trivial. % 1.72/1.82 (* end of lemma zenon_L2037_ *) % 1.72/1.82 assert (zenon_L2038_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H29f zenon_H1ca zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H55 zenon_Hd4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2f0. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.72/1.82 apply (zenon_L396_); trivial. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.72/1.82 apply (zenon_L1554_); trivial. % 1.72/1.82 apply (zenon_L2035_); trivial. % 1.72/1.82 apply (zenon_L1671_); trivial. % 1.72/1.82 (* end of lemma zenon_L2038_ *) % 1.72/1.82 assert (zenon_L2039_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.72/1.82 apply (zenon_L1360_); trivial. % 1.72/1.82 apply (zenon_L1634_); trivial. % 1.72/1.82 (* end of lemma zenon_L2039_ *) % 1.72/1.82 assert (zenon_L2040_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2e0 zenon_He4 zenon_H16e zenon_H190 zenon_H191 zenon_H192 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_L493_); trivial. % 1.72/1.82 apply (zenon_L2030_); trivial. % 1.72/1.82 (* end of lemma zenon_L2040_ *) % 1.72/1.82 assert (zenon_L2041_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c1_1 (a806)) -> (c0_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> False). % 1.72/1.82 do 0 intro. intros zenon_H20b zenon_H16e zenon_H1ca zenon_H138 zenon_H21d zenon_He4 zenon_He6 zenon_H54 zenon_H50 zenon_H4d zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H1e2 zenon_H1ae zenon_H1dd zenon_H1ad zenon_H2cd zenon_H2cc zenon_H2cb zenon_H192 zenon_H191 zenon_H190 zenon_H12 zenon_Hd4 zenon_H55 zenon_H2e0 zenon_H27f zenon_H1d9. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.72/1.82 apply (zenon_L1436_); trivial. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.72/1.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.72/1.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.72/1.82 apply (zenon_L1543_); trivial. % 1.74/1.83 apply (zenon_L1634_); trivial. % 1.74/1.83 apply (zenon_L2039_); trivial. % 1.74/1.83 apply (zenon_L1419_); trivial. % 1.74/1.83 apply (zenon_L2040_); trivial. % 1.74/1.83 (* end of lemma zenon_L2041_ *) % 1.74/1.83 assert (zenon_L2042_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp3)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H16e zenon_H1eb zenon_H1ea zenon_H1e9 zenon_He4. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L421_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L1357_); trivial. % 1.74/1.83 (* end of lemma zenon_L2042_ *) % 1.74/1.83 assert (zenon_L2043_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H80 zenon_H2f0 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H16e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H264 zenon_H258 zenon_H25a zenon_H153 zenon_H155 zenon_H21d zenon_H1be zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H4d zenon_H50 zenon_H54. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L1360_); trivial. % 1.74/1.83 apply (zenon_L2042_); trivial. % 1.74/1.83 (* end of lemma zenon_L2043_ *) % 1.74/1.83 assert (zenon_L2044_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp5)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H29 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5 zenon_Hd7 zenon_Hd9 zenon_H1c2 zenon_H1be. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.74/1.83 apply (zenon_L197_); trivial. % 1.74/1.83 exact (zenon_H1be zenon_H1bf). % 1.74/1.83 (* end of lemma zenon_L2044_ *) % 1.74/1.83 assert (zenon_L2045_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H2e zenon_H5 zenon_H1c2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H8a zenon_H8c zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1be zenon_H21d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.74/1.83 apply (zenon_L1447_); trivial. % 1.74/1.83 apply (zenon_L2044_); trivial. % 1.74/1.83 (* end of lemma zenon_L2045_ *) % 1.74/1.83 assert (zenon_L2046_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a808))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_Hf0 zenon_H1a4 zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L882_); trivial. % 1.74/1.83 apply (zenon_L1362_); trivial. % 1.74/1.83 (* end of lemma zenon_L2046_ *) % 1.74/1.83 assert (zenon_L2047_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a808))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H21d zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H1a4 zenon_Hf0 zenon_H147 zenon_H148 zenon_H1ad zenon_H1ae zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1be. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.74/1.83 apply (zenon_L2046_); trivial. % 1.74/1.83 exact (zenon_H1be zenon_H1bf). % 1.74/1.83 (* end of lemma zenon_L2047_ *) % 1.74/1.83 assert (zenon_L2048_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp3)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c2_1 (a808))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp5)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H1c4 zenon_H1be zenon_H21d zenon_He4 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H16e zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H119 zenon_H1ae zenon_H1ad zenon_H148 zenon_H147 zenon_H1a4 zenon_Hd7 zenon_Hd9 zenon_H2f0 zenon_H5. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.74/1.83 apply (zenon_L2047_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L2046_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L1357_); trivial. % 1.74/1.83 exact (zenon_H5 zenon_H6). % 1.74/1.83 (* end of lemma zenon_L2048_ *) % 1.74/1.83 assert (zenon_L2049_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a805))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H1c4 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H16e zenon_He4 zenon_H2f0 zenon_Haa zenon_H1ad zenon_H1ae zenon_H1a4 zenon_H147 zenon_H148 zenon_H21d zenon_H1be zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c2 zenon_H5 zenon_H2e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.83 apply (zenon_L2045_); trivial. % 1.74/1.83 apply (zenon_L2048_); trivial. % 1.74/1.83 (* end of lemma zenon_L2049_ *) % 1.74/1.83 assert (zenon_L2050_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H5 zenon_H1c2 zenon_H119 zenon_H8c zenon_Haa zenon_H1c4 zenon_H124 zenon_H1d9 zenon_H27f zenon_H54 zenon_H165 zenon_H231 zenon_H1bc zenon_H2e zenon_H1c0 zenon_Hf zenon_H3c zenon_H40 zenon_H50 zenon_He6 zenon_H21d zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H138 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.83 apply (zenon_L1358_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L407_); trivial. % 1.74/1.83 apply (zenon_L2043_); trivial. % 1.74/1.83 apply (zenon_L1419_); trivial. % 1.74/1.83 apply (zenon_L411_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L407_); trivial. % 1.74/1.83 apply (zenon_L2049_); trivial. % 1.74/1.83 apply (zenon_L411_); trivial. % 1.74/1.83 (* end of lemma zenon_L2050_ *) % 1.74/1.83 assert (zenon_L2051_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H153 zenon_H264 zenon_H258 zenon_H25a zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Hd2 zenon_H55. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L421_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2035_); trivial. % 1.74/1.83 (* end of lemma zenon_L2051_ *) % 1.74/1.83 assert (zenon_L2052_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H54 zenon_H50 zenon_H4d zenon_H4b zenon_H2e zenon_Haa zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_H133 zenon_H258 zenon_H25a zenon_H264 zenon_H12c zenon_H12b zenon_H12a zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.83 apply (zenon_L1457_); trivial. % 1.74/1.83 apply (zenon_L22_); trivial. % 1.74/1.83 (* end of lemma zenon_L2052_ *) % 1.74/1.83 assert (zenon_L2053_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c2_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a806)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1d9 zenon_H27f zenon_H138 zenon_H21d zenon_H1be zenon_H1c0 zenon_H23b zenon_H1dd zenon_H5 zenon_H1c2 zenon_H103 zenon_H54 zenon_H50 zenon_H4d zenon_H59 zenon_H57 zenon_H55 zenon_H3c zenon_H40 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_Haa zenon_H1ad zenon_H1ae zenon_Hd4 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H2f0 zenon_H80 zenon_Hf zenon_H1bc zenon_H133 zenon_H2e zenon_H1ca. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L55_); trivial. % 1.74/1.83 apply (zenon_L2051_); trivial. % 1.74/1.83 apply (zenon_L1387_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L2052_); trivial. % 1.74/1.83 apply (zenon_L1634_); trivial. % 1.74/1.83 apply (zenon_L1387_); trivial. % 1.74/1.83 apply (zenon_L1419_); trivial. % 1.74/1.83 (* end of lemma zenon_L2053_ *) % 1.74/1.83 assert (zenon_L2054_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_Haa zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_L493_); trivial. % 1.74/1.83 apply (zenon_L2034_); trivial. % 1.74/1.83 (* end of lemma zenon_L2054_ *) % 1.74/1.83 assert (zenon_L2055_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp17)) -> (~(hskp8)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1be zenon_H155 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hd4 zenon_H1ae zenon_H1ad zenon_Hd2 zenon_H55. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L1347_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2035_); trivial. % 1.74/1.83 (* end of lemma zenon_L2055_ *) % 1.74/1.83 assert (zenon_L2056_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp13)) -> (~(c1_1 (a808))) -> (c3_1 (a808)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(c0_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H2f0 zenon_H153 zenon_H147 zenon_H148 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H1be zenon_H155 zenon_H2cb zenon_H2cd zenon_H2cc zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H12a zenon_H12b zenon_H12c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L1347_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L108_); trivial. % 1.74/1.83 (* end of lemma zenon_L2056_ *) % 1.74/1.83 assert (zenon_L2057_ : ((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1b9 zenon_H40 zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H153 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_L26_); trivial. % 1.74/1.83 apply (zenon_L2056_); trivial. % 1.74/1.83 (* end of lemma zenon_L2057_ *) % 1.74/1.83 assert (zenon_L2058_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a808)) -> (~(c1_1 (a808))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1d9 zenon_H16e zenon_He4 zenon_H40 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd4 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H155 zenon_H148 zenon_H147 zenon_H1ad zenon_H1ae zenon_H1be zenon_H1c0 zenon_Haa zenon_H55 zenon_H57 zenon_H59 zenon_H1ca. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_L26_); trivial. % 1.74/1.83 apply (zenon_L2055_); trivial. % 1.74/1.83 apply (zenon_L2057_); trivial. % 1.74/1.83 apply (zenon_L2034_); trivial. % 1.74/1.83 (* end of lemma zenon_L2058_ *) % 1.74/1.83 assert (zenon_L2059_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H129 zenon_H12 zenon_H4d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H97 | zenon_intro zenon_H280 ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H157 | zenon_intro zenon_H4e ]. % 1.74/1.83 apply (zenon_L403_); trivial. % 1.74/1.83 exact (zenon_H4d zenon_H4e). % 1.74/1.83 (* end of lemma zenon_L2059_ *) % 1.74/1.83 assert (zenon_L2060_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c3_1 (a805))) -> (c1_1 (a805)) -> (~(c2_1 (a805))) -> (~(hskp11)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H81 zenon_H2f0 zenon_H109 zenon_H10d zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H27f zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H4d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L94_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2059_); trivial. % 1.74/1.83 (* end of lemma zenon_L2060_ *) % 1.74/1.83 assert (zenon_L2061_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a805))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H27f zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H109 zenon_H10d zenon_H21d zenon_H1be zenon_Hd7 zenon_Hd9 zenon_He4 zenon_He6 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H12 zenon_H4d zenon_H50 zenon_H54. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L1360_); trivial. % 1.74/1.83 apply (zenon_L2060_); trivial. % 1.74/1.83 (* end of lemma zenon_L2061_ *) % 1.74/1.83 assert (zenon_L2062_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> (c1_1 (a797)) -> (c2_1 (a797)) -> (c3_1 (a797)) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c3_1 (a832))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a832)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H103 zenon_H1be zenon_H30 zenon_H31 zenon_H32 zenon_H1ad zenon_H1ae zenon_H1c0 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H12 zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.74/1.83 apply (zenon_L1550_); trivial. % 1.74/1.83 apply (zenon_L72_); trivial. % 1.74/1.83 (* end of lemma zenon_L2062_ *) % 1.74/1.83 assert (zenon_L2063_ : ((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H3b zenon_H21d zenon_Hd9 zenon_Hd7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H103 zenon_H1be. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.74/1.83 apply (zenon_L2062_); trivial. % 1.74/1.83 exact (zenon_H1be zenon_H1bf). % 1.74/1.83 (* end of lemma zenon_L2063_ *) % 1.74/1.83 assert (zenon_L2064_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> (~(c1_1 (a799))) -> (c1_1 (a805)) -> (~(c3_1 (a805))) -> (~(c2_1 (a805))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H40 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c0 zenon_H103 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1ad zenon_H1ae zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H258 zenon_H25a zenon_H264 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1f6 zenon_H1f5 zenon_H1bc zenon_H1be zenon_H21d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_L1462_); trivial. % 1.74/1.83 apply (zenon_L2063_); trivial. % 1.74/1.83 (* end of lemma zenon_L2064_ *) % 1.74/1.83 assert (zenon_L2065_ : ((ndr1_0)/\((c1_1 (a805))/\((~(c2_1 (a805)))/\(~(c3_1 (a805)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a799))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H20c zenon_H2a5 zenon_H1ac zenon_H1c4 zenon_H138 zenon_H124 zenon_H11e zenon_H103 zenon_H264 zenon_H50 zenon_He6 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H27f zenon_H2f0 zenon_H80 zenon_H21d zenon_H8c zenon_H25a zenon_H258 zenon_H119 zenon_H1c2 zenon_H5 zenon_H40 zenon_H3c zenon_Hf zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_Haa zenon_H2e zenon_H1bc zenon_H231 zenon_H165 zenon_H54 zenon_H20b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H16e zenon_He4 zenon_H202. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.83 apply (zenon_L1358_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L1397_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.83 apply (zenon_L2045_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L2061_); trivial. % 1.74/1.83 apply (zenon_L2064_); trivial. % 1.74/1.83 apply (zenon_L411_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L1397_); trivial. % 1.74/1.83 apply (zenon_L2049_); trivial. % 1.74/1.83 apply (zenon_L411_); trivial. % 1.74/1.83 (* end of lemma zenon_L2065_ *) % 1.74/1.83 assert (zenon_L2066_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp27)\/(hskp3))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp9)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H11e zenon_H119 zenon_H2cb zenon_H2cc zenon_H2cd zenon_He6 zenon_H1be zenon_H21d zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54 zenon_H142 zenon_He4 zenon_Hb2 zenon_Hb4 zenon_H1f2 zenon_H258 zenon_H25a zenon_H8c zenon_H71 zenon_H2e zenon_Hc2 zenon_H80. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.83 apply (zenon_L418_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L1027_); trivial. % 1.74/1.83 apply (zenon_L1430_); trivial. % 1.74/1.83 (* end of lemma zenon_L2066_ *) % 1.74/1.83 assert (zenon_L2067_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ca zenon_H2f0 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1e2 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd4 zenon_H2e0 zenon_H59 zenon_H55 zenon_H244 zenon_H245 zenon_H246 zenon_H125 zenon_H127 zenon_H40. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.83 apply (zenon_L644_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.83 apply (zenon_L1436_); trivial. % 1.74/1.83 apply (zenon_L1671_); trivial. % 1.74/1.83 (* end of lemma zenon_L2067_ *) % 1.74/1.83 assert (zenon_L2068_ : ((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H18c zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H16e zenon_He4. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L396_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2033_); trivial. % 1.74/1.83 (* end of lemma zenon_L2068_ *) % 1.74/1.83 assert (zenon_L2069_ : ((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(c1_1 (a799))) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H2f0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H16e zenon_He4 zenon_Haa zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H264 zenon_H258 zenon_H25a zenon_H155. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_L493_); trivial. % 1.74/1.83 apply (zenon_L2068_); trivial. % 1.74/1.83 (* end of lemma zenon_L2069_ *) % 1.74/1.83 assert (zenon_L2070_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c1_1 (a825)) -> (c0_1 (a825)) -> (~(c2_1 (a825))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H12c zenon_H12b zenon_H12a zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H10d zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L1490_); trivial. % 1.74/1.83 apply (zenon_L1555_); trivial. % 1.74/1.83 (* end of lemma zenon_L2070_ *) % 1.74/1.83 assert (zenon_L2071_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H12 zenon_H110 zenon_H111 zenon_H112 zenon_Ha0 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.74/1.83 apply (zenon_L1450_); trivial. % 1.74/1.83 exact (zenon_H1be zenon_H1bf). % 1.74/1.83 (* end of lemma zenon_L2071_ *) % 1.74/1.83 assert (zenon_L2072_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c3_1 (a806))) -> (c1_1 (a806)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H1dd zenon_H1e2 zenon_H192 zenon_H191 zenon_H190 zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hd9 zenon_Hd7 zenon_H1ad zenon_H1ae zenon_H119 zenon_H1be. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.74/1.83 apply (zenon_L1389_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_L2071_); trivial. % 1.74/1.83 (* end of lemma zenon_L2072_ *) % 1.74/1.83 assert (zenon_L2073_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> (~(c3_1 (a806))) -> (c0_1 (a806)) -> (c1_1 (a806)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> (~(c2_1 (a825))) -> (c0_1 (a825)) -> (c1_1 (a825)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H11e zenon_H2e0 zenon_H119 zenon_H1be zenon_H21d zenon_H190 zenon_H191 zenon_H192 zenon_H1ad zenon_H1dd zenon_H1ae zenon_H1e2 zenon_H54 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H50 zenon_H4d zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H40 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H12a zenon_H12b zenon_H12c zenon_H2f0 zenon_H80. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L2070_); trivial. % 1.74/1.83 apply (zenon_L2072_); trivial. % 1.74/1.83 (* end of lemma zenon_L2073_ *) % 1.74/1.83 assert (zenon_L2074_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp21)\/(hskp11))) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((hskp28)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1ac zenon_Haa zenon_H1a2 zenon_H1ca zenon_H138 zenon_H11e zenon_H119 zenon_H21d zenon_H54 zenon_H10b zenon_H50 zenon_H10d zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H2f0 zenon_H80 zenon_H2e zenon_H1c0 zenon_Hf zenon_H1e2 zenon_Hd4 zenon_H2e0 zenon_H20b zenon_H59 zenon_H55 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1c2 zenon_H5 zenon_H28e zenon_H28d zenon_H28c zenon_H103 zenon_H40. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.83 apply (zenon_L1488_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.83 apply (zenon_L1436_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_L1439_); trivial. % 1.74/1.83 apply (zenon_L1487_); trivial. % 1.74/1.83 apply (zenon_L2073_); trivial. % 1.74/1.83 apply (zenon_L1511_); trivial. % 1.74/1.83 apply (zenon_L1504_); trivial. % 1.74/1.83 (* end of lemma zenon_L2074_ *) % 1.74/1.83 assert (zenon_L2075_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a800))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H21d zenon_H2cd zenon_H2cc zenon_H2cb zenon_H55 zenon_H12 zenon_H245 zenon_H199 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H97 | zenon_intro zenon_H21e ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1bf ]. % 1.74/1.83 apply (zenon_L1028_); trivial. % 1.74/1.83 exact (zenon_H1be zenon_H1bf). % 1.74/1.83 (* end of lemma zenon_L2075_ *) % 1.74/1.83 assert (zenon_L2076_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (~(c2_1 (a838))) -> (c0_1 (a838)) -> (c3_1 (a838)) -> (~(c2_1 (a833))) -> (~(c0_1 (a833))) -> (c1_1 (a833)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a794))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H1be zenon_H7e zenon_Hd9 zenon_Hd7 zenon_H110 zenon_H111 zenon_H112 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H119 zenon_H246 zenon_H245 zenon_H55 zenon_H21d zenon_Haa zenon_H2cd zenon_H2cc zenon_H2dc zenon_H2cb zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.74/1.83 apply (zenon_L2075_); trivial. % 1.74/1.83 apply (zenon_L1497_); trivial. % 1.74/1.83 (* end of lemma zenon_L2076_ *) % 1.74/1.83 assert (zenon_L2077_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L1027_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.74/1.83 apply (zenon_L2076_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.74/1.83 apply (zenon_L2075_); trivial. % 1.74/1.83 apply (zenon_L764_); trivial. % 1.74/1.83 (* end of lemma zenon_L2077_ *) % 1.74/1.83 assert (zenon_L2078_ : ((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.74/1.83 do 0 intro. intros zenon_Hbf zenon_H2e0 zenon_Haa zenon_H21d zenon_H55 zenon_H245 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H112 zenon_H111 zenon_H110 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be zenon_H1e2 zenon_H28d zenon_H28e zenon_H28c zenon_H2cb zenon_H2cc zenon_H2cd zenon_H190 zenon_H191 zenon_H192 zenon_H1a2 zenon_H50 zenon_H4b zenon_H4d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.74/1.83 apply (zenon_L2076_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_L1534_); trivial. % 1.74/1.83 (* end of lemma zenon_L2078_ *) % 1.74/1.83 assert (zenon_L2079_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (ndr1_0) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a802)) -> (~(c0_1 (a802))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.74/1.83 do 0 intro. intros zenon_Hc2 zenon_H2e0 zenon_H50 zenon_H4d zenon_H4b zenon_H1e2 zenon_H190 zenon_H191 zenon_H192 zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H246 zenon_H55 zenon_H7e zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H12 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Hb4 zenon_Hb2 zenon_H210 zenon_H20f zenon_H1be zenon_H21d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.83 apply (zenon_L1527_); trivial. % 1.74/1.83 apply (zenon_L2078_); trivial. % 1.74/1.83 (* end of lemma zenon_L2079_ *) % 1.74/1.83 assert (zenon_L2080_ : ((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a832)) -> (~(c3_1 (a832))) -> (c3_1 (a838)) -> (c0_1 (a838)) -> (~(c2_1 (a838))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H81 zenon_Hc2 zenon_H2e0 zenon_H71 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Hd9 zenon_Hd7 zenon_H112 zenon_H111 zenon_H110 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H245 zenon_H246 zenon_H55 zenon_H7e zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_Hb2 zenon_Hb4. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.83 apply (zenon_L58_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.74/1.83 apply (zenon_L2076_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_L1537_); trivial. % 1.74/1.83 (* end of lemma zenon_L2080_ *) % 1.74/1.83 assert (zenon_L2081_ : ((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a802))) -> (c2_1 (a802)) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp17)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H11d zenon_H11e zenon_H80 zenon_H71 zenon_H21d zenon_H1be zenon_H20f zenon_H210 zenon_Hb2 zenon_Hb4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1a2 zenon_H28c zenon_H28e zenon_H28d zenon_Haa zenon_Hd7 zenon_Hd9 zenon_H119 zenon_H192 zenon_H191 zenon_H190 zenon_H1e2 zenon_H4d zenon_H50 zenon_H2e0 zenon_Hc2 zenon_H40 zenon_H127 zenon_H125 zenon_H246 zenon_H245 zenon_H244 zenon_H10b zenon_H7e zenon_Hd2 zenon_H55 zenon_Hd4 zenon_H54. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L1027_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L2079_); trivial. % 1.74/1.83 apply (zenon_L2080_); trivial. % 1.74/1.83 (* end of lemma zenon_L2081_ *) % 1.74/1.83 assert (zenon_L2082_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H13 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L544_); trivial. % 1.74/1.83 apply (zenon_L764_); trivial. % 1.74/1.83 (* end of lemma zenon_L2082_ *) % 1.74/1.83 assert (zenon_L2083_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H12 zenon_H28c zenon_H28e zenon_H28d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.74/1.83 apply (zenon_L169_); trivial. % 1.74/1.83 apply (zenon_L2082_); trivial. % 1.74/1.83 (* end of lemma zenon_L2083_ *) % 1.74/1.83 assert (zenon_L2084_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1a9 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H28c zenon_H28e zenon_H28d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L396_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2083_); trivial. % 1.74/1.83 (* end of lemma zenon_L2084_ *) % 1.74/1.83 assert (zenon_L2085_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c1_1 (a806)) -> (~(c3_1 (a806))) -> (c3_1 (a797)) -> (c2_1 (a797)) -> (c1_1 (a797)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.74/1.83 do 0 intro. intros zenon_Haa zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H129 zenon_H1c0 zenon_H1ae zenon_H1ad zenon_H32 zenon_H31 zenon_H30 zenon_Hf6 zenon_H12 zenon_H1be. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L544_); trivial. % 1.74/1.83 apply (zenon_L191_); trivial. % 1.74/1.83 (* end of lemma zenon_L2085_ *) % 1.74/1.83 assert (zenon_L2086_ : ((ndr1_0)/\((c0_1 (a806))/\((c1_1 (a806))/\(~(c3_1 (a806)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c1_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/(hskp12))) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp8)) -> ((hskp28)\/((hskp8)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H29f zenon_H2a0 zenon_H1e2 zenon_H40 zenon_H2f0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H1c0 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_H55 zenon_H59 zenon_H20b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_L26_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L396_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H97 | zenon_intro zenon_H107 ]. % 1.74/1.83 apply (zenon_L1316_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hd6 ]. % 1.74/1.83 apply (zenon_L2085_); trivial. % 1.74/1.83 apply (zenon_L657_); trivial. % 1.74/1.83 apply (zenon_L1511_); trivial. % 1.74/1.83 apply (zenon_L1700_); trivial. % 1.74/1.83 (* end of lemma zenon_L2086_ *) % 1.74/1.83 assert (zenon_L2087_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a867)) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c1_1 (a867)) -> (c3_1 (a867)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H41 zenon_H12 zenon_H1e zenon_H129 zenon_H1f zenon_H20. % 1.74/1.83 generalize (zenon_H41 (a867)). zenon_intro zenon_H2f3. % 1.74/1.83 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f4 ]. % 1.74/1.83 exact (zenon_H11 zenon_H12). % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H24 | zenon_intro zenon_H275 ]. % 1.74/1.83 exact (zenon_H24 zenon_H1e). % 1.74/1.83 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H276 | zenon_intro zenon_H25 ]. % 1.74/1.83 generalize (zenon_H129 (a867)). zenon_intro zenon_H26f. % 1.74/1.83 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H11 | zenon_intro zenon_H270 ]. % 1.74/1.83 exact (zenon_H11 zenon_H12). % 1.74/1.83 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ]. % 1.74/1.83 exact (zenon_H276 zenon_H272). % 1.74/1.83 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.74/1.83 exact (zenon_H24 zenon_H1e). % 1.74/1.83 exact (zenon_H26 zenon_H1f). % 1.74/1.83 exact (zenon_H25 zenon_H20). % 1.74/1.83 (* end of lemma zenon_L2087_ *) % 1.74/1.83 assert (zenon_L2088_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a867)) -> (c1_1 (a867)) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))) -> (c0_1 (a867)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H50 zenon_H20 zenon_H1f zenon_H129 zenon_H1e zenon_H12 zenon_H4b zenon_H4d. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H41 | zenon_intro zenon_H53 ]. % 1.74/1.83 apply (zenon_L2087_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 1.74/1.83 exact (zenon_H4b zenon_H4c). % 1.74/1.83 exact (zenon_H4d zenon_H4e). % 1.74/1.83 (* end of lemma zenon_L2088_ *) % 1.74/1.83 assert (zenon_L2089_ : ((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H29 zenon_H2f0 zenon_H246 zenon_H245 zenon_H244 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H50 zenon_H4b zenon_H4d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1f. zenon_intro zenon_H20. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L396_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_L2088_); trivial. % 1.74/1.83 (* end of lemma zenon_L2089_ *) % 1.74/1.83 assert (zenon_L2090_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> (~(hskp19)) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H54 zenon_H2e zenon_H2f0 zenon_H4b zenon_H4d zenon_H50 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hd zenon_Hf zenon_H3c zenon_H40. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29 ]. % 1.74/1.83 apply (zenon_L8_); trivial. % 1.74/1.83 apply (zenon_L2089_); trivial. % 1.74/1.83 apply (zenon_L17_); trivial. % 1.74/1.83 apply (zenon_L22_); trivial. % 1.74/1.83 (* end of lemma zenon_L2090_ *) % 1.74/1.83 assert (zenon_L2091_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H155 zenon_H153 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_Hd zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H50 zenon_H4d zenon_H2f0 zenon_H2e zenon_H54. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L2090_); trivial. % 1.74/1.83 apply (zenon_L427_); trivial. % 1.74/1.83 (* end of lemma zenon_L2091_ *) % 1.74/1.83 assert (zenon_L2092_ : ((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c1_1 (a833)) -> (~(c0_1 (a833))) -> (~(c2_1 (a833))) -> (~(c3_1 (a832))) -> (c2_1 (a832)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> (~(c3_1 (a807))) -> (~(c2_1 (a807))) -> (~(c0_1 (a807))) -> (c3_1 (a808)) -> (~(c2_1 (a808))) -> (~(c1_1 (a808))) -> (~(c3_1 (a798))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> False). % 1.74/1.83 do 0 intro. intros zenon_H121 zenon_H2e0 zenon_H2cb zenon_H2cc zenon_H2cd zenon_Haa zenon_H21d zenon_H55 zenon_H245 zenon_H246 zenon_H119 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hd7 zenon_Hd9 zenon_H7e zenon_H1be zenon_H1a2 zenon_H192 zenon_H191 zenon_H190 zenon_H148 zenon_H1a4 zenon_H147 zenon_H28c zenon_H28e zenon_H28d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e1 ]. % 1.74/1.83 apply (zenon_L2076_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H18f | zenon_intro zenon_Ha0 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_L1503_); trivial. % 1.74/1.83 (* end of lemma zenon_L2092_ *) % 1.74/1.83 assert (zenon_L2093_ : ((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> (~(c3_1 (a798))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((hskp17)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> (~(hskp9)) -> (c0_1 (a799)) -> (c3_1 (a799)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp30)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp7))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a825))/\((c1_1 (a825))/\(~(c2_1 (a825))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1a9 zenon_H20b zenon_H103 zenon_H138 zenon_H124 zenon_H11e zenon_H2e0 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H119 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_H28d zenon_H28e zenon_H28c zenon_H1a2 zenon_H10b zenon_H7e zenon_H55 zenon_Hd4 zenon_H54 zenon_H1f2 zenon_Hb2 zenon_H258 zenon_H25a zenon_H8c zenon_H2e zenon_H2f0 zenon_H125 zenon_H127 zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hf zenon_H40 zenon_H202 zenon_H1ca. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L1667_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.83 apply (zenon_L1829_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L1027_); trivial. % 1.74/1.83 apply (zenon_L2092_); trivial. % 1.74/1.83 apply (zenon_L1319_); trivial. % 1.74/1.83 apply (zenon_L1511_); trivial. % 1.74/1.83 (* end of lemma zenon_L2093_ *) % 1.74/1.83 assert (zenon_L2094_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> (~(hskp21)) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H80 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H109 zenon_H10b zenon_H54. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.83 apply (zenon_L1490_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.83 apply (zenon_L1495_); trivial. % 1.74/1.83 apply (zenon_L1684_); trivial. % 1.74/1.83 (* end of lemma zenon_L2094_ *) % 1.74/1.83 assert (zenon_L2095_ : ((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> (~(c0_1 (a807))) -> (~(c2_1 (a807))) -> (~(c3_1 (a807))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> (~(c2_1 (a803))) -> (c1_1 (a803)) -> (c3_1 (a803)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (c2_1 (a793)) -> (c0_1 (a793)) -> (~(c1_1 (a793))) -> (c3_1 (a800)) -> (~(c1_1 (a800))) -> (~(c0_1 (a800))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a794)) -> (~(c2_1 (a794))) -> (~(c0_1 (a794))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H135 zenon_H124 zenon_H190 zenon_H191 zenon_H192 zenon_H21d zenon_H1be zenon_H119 zenon_Haa zenon_H1a2 zenon_H80 zenon_H2f0 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H55 zenon_H7e zenon_H2e9 zenon_H2e8 zenon_H2e7 zenon_H246 zenon_H245 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H4d zenon_H50 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H10b zenon_H54 zenon_H1f2 zenon_H11e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L2094_); trivial. % 1.74/1.83 apply (zenon_L255_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.83 apply (zenon_L2094_); trivial. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.83 apply (zenon_L396_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.83 apply (zenon_L1554_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18f | zenon_intro zenon_H1a3 ]. % 1.74/1.83 apply (zenon_L161_); trivial. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H199 | zenon_intro zenon_H13 ]. % 1.74/1.83 apply (zenon_L2075_); trivial. % 1.74/1.83 apply (zenon_L2082_); trivial. % 1.74/1.83 (* end of lemma zenon_L2095_ *) % 1.74/1.83 assert (zenon_L2096_ : ((ndr1_0)/\((~(c0_1 (a807)))/\((~(c2_1 (a807)))/\(~(c3_1 (a807)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a808))/\((~(c1_1 (a808)))/\(~(c2_1 (a808))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a814))/\((~(c0_1 (a814)))/\(~(c3_1 (a814))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a869))/\((c3_1 (a869))/\(~(c0_1 (a869))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp13))) -> (c3_1 (a799)) -> (c0_1 (a799)) -> (~(c1_1 (a799))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c2_1 X64))\/(~(c3_1 X64))))))\/((forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c1_1 X65))\/(~(c2_1 X65))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c0_1 X66))\/((~(c1_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a829))/\((c1_1 (a829))/\(c2_1 (a829)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a797))/\((c2_1 (a797))/\(c3_1 (a797)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c1_1 X16))\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp28)\/(hskp19))) -> (~(c0_1 (a800))) -> (~(c1_1 (a800))) -> (c3_1 (a800)) -> (~(c1_1 (a793))) -> (c0_1 (a793)) -> (c2_1 (a793)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((hskp26)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((~(c0_1 X12))\/(~(c1_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a867))/\((c1_1 (a867))/\(c3_1 (a867)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a796))/\((c2_1 (a796))/\(c3_1 (a796)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a838))/\((c3_1 (a838))/\(~(c2_1 (a838))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/((hskp9)\/(hskp20))) -> ((hskp27)\/((hskp21)\/(hskp28))) -> (~(c0_1 (a794))) -> (~(c2_1 (a794))) -> (c3_1 (a794)) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c2_1 (a798)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c2_1 X2))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c2_1 X39))\/(~(c3_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a803)) -> (c1_1 (a803)) -> (~(c2_1 (a803))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((c3_1 X42)\/(~(c1_1 X42))))))\/((forall X83 : zenon_U, ((ndr1_0)->((c2_1 X83)\/((~(c0_1 X83))\/(~(c3_1 X83))))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c3_1 X25))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a833))/\((~(c0_1 (a833)))/\(~(c2_1 (a833))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a832))/\((~(c1_1 (a832)))/\(~(c3_1 (a832))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a809))/\((c2_1 (a809))/\(~(c0_1 (a809))))))) -> False). % 1.74/1.83 do 0 intro. intros zenon_H1e6 zenon_H1ac zenon_H1d9 zenon_H27f zenon_H80 zenon_H155 zenon_H25a zenon_H258 zenon_H264 zenon_Hb4 zenon_Hb2 zenon_H71 zenon_Hc2 zenon_H40 zenon_H3c zenon_Hf zenon_H244 zenon_H245 zenon_H246 zenon_H2e7 zenon_H2e8 zenon_H2e9 zenon_H50 zenon_H2f0 zenon_H2e zenon_H54 zenon_H11e zenon_H1f2 zenon_H10b zenon_H2cb zenon_H2cc zenon_H2cd zenon_H28c zenon_H28d zenon_H28e zenon_H103 zenon_H7e zenon_H55 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1a2 zenon_Haa zenon_H119 zenon_H21d zenon_H124 zenon_H138 zenon_H20b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.83 apply (zenon_L2091_); trivial. % 1.74/1.83 apply (zenon_L2095_); trivial. % 1.74/1.83 apply (zenon_L1419_); trivial. % 1.74/1.83 apply (zenon_L1511_); trivial. % 1.74/1.83 apply (zenon_L2084_); trivial. % 1.74/1.83 (* end of lemma zenon_L2096_ *) % 1.74/1.83 apply NNPP. intro zenon_G. % 1.74/1.83 apply zenon_G. zenon_intro zenon_H2f5. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f2. zenon_intro zenon_H304. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H255. zenon_intro zenon_H305. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H2a5. zenon_intro zenon_H306. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H2a0. zenon_intro zenon_H307. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1ac. zenon_intro zenon_H308. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H20b. zenon_intro zenon_H309. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1d9. zenon_intro zenon_H30a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H18a. zenon_intro zenon_H30b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H18b. zenon_intro zenon_H30c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1ca. zenon_intro zenon_H30f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H235. zenon_intro zenon_H310. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H138. zenon_intro zenon_H311. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H124. zenon_intro zenon_H312. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H11e. zenon_intro zenon_H313. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H108. zenon_intro zenon_H314. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Hef. zenon_intro zenon_H317. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Hac. zenon_intro zenon_H318. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H80. zenon_intro zenon_H319. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H54. zenon_intro zenon_H31a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H40. zenon_intro zenon_H31b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_Hc2. zenon_intro zenon_H31c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H2e. zenon_intro zenon_H31d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H2e0. zenon_intro zenon_H31e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H2e2. zenon_intro zenon_H31f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H321. zenon_intro zenon_H320. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H2c1. zenon_intro zenon_H322. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2bf. zenon_intro zenon_H323. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H2bd. zenon_intro zenon_H324. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1c4. zenon_intro zenon_H325. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H102. zenon_intro zenon_H326. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2f0. zenon_intro zenon_H327. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H209. zenon_intro zenon_H328. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H127. zenon_intro zenon_H329. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H1d4. zenon_intro zenon_H32a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H1e2. zenon_intro zenon_H32b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H1a2. zenon_intro zenon_H32c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H27f. zenon_intro zenon_H32f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H21d. zenon_intro zenon_H330. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H103. zenon_intro zenon_H331. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Haa. zenon_intro zenon_H332. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H202. zenon_intro zenon_H333. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H165. zenon_intro zenon_H336. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H16e. zenon_intro zenon_H337. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H16f. zenon_intro zenon_H33a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H23b. zenon_intro zenon_H33b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_Hea. zenon_intro zenon_H33c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1d6. zenon_intro zenon_H341. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H155. zenon_intro zenon_H342. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H231. zenon_intro zenon_H343. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H7e. zenon_intro zenon_H344. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H221. zenon_intro zenon_H347. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H71. zenon_intro zenon_H348. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_Hb4. zenon_intro zenon_H349. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H239. zenon_intro zenon_H34c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H22f. zenon_intro zenon_H34d. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H233. zenon_intro zenon_H34e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H185. zenon_intro zenon_H34f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H2a. zenon_intro zenon_H352. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H1c8. zenon_intro zenon_H353. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1bc. zenon_intro zenon_H354. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H119. zenon_intro zenon_H355. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H1c0. zenon_intro zenon_H356. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hd4. zenon_intro zenon_H357. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H1e4. zenon_intro zenon_H35a. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H133. zenon_intro zenon_H35b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f2. zenon_intro zenon_H35e. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H360. zenon_intro zenon_H35f. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H1c2. zenon_intro zenon_H361. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_He6. zenon_intro zenon_H362. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H163. zenon_intro zenon_H363. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H365. zenon_intro zenon_H364. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H88. zenon_intro zenon_H366. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H8c. zenon_intro zenon_H367. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H50. zenon_intro zenon_H368. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H369. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H3c. zenon_intro zenon_H36b. % 1.74/1.83 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H10d. zenon_intro zenon_H36c. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Hf. zenon_intro zenon_H36d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H142. zenon_intro zenon_H36e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H10b. zenon_intro zenon_H36f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H7. zenon_intro zenon_H370. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H372. zenon_intro zenon_H371. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H59. zenon_intro zenon_H373. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H374 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H86 | zenon_intro zenon_H375 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H22d | zenon_intro zenon_H376 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.84 apply (zenon_L4_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.74/1.84 apply (zenon_L39_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.74/1.84 apply (zenon_L54_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_L71_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_L103_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_L115_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_L121_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L132_); trivial. % 1.74/1.84 apply (zenon_L135_); trivial. % 1.74/1.84 apply (zenon_L158_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_L172_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L178_); trivial. % 1.74/1.84 apply (zenon_L179_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L196_); trivial. % 1.74/1.84 apply (zenon_L206_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L210_); trivial. % 1.74/1.84 apply (zenon_L206_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L213_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L214_); trivial. % 1.74/1.84 apply (zenon_L206_); trivial. % 1.74/1.84 apply (zenon_L221_); trivial. % 1.74/1.84 apply (zenon_L158_); trivial. % 1.74/1.84 apply (zenon_L227_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.74/1.84 apply (zenon_L246_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L264_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L265_); trivial. % 1.74/1.84 apply (zenon_L262_); trivial. % 1.74/1.84 apply (zenon_L271_); trivial. % 1.74/1.84 apply (zenon_L278_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L284_); trivial. % 1.74/1.84 apply (zenon_L291_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L295_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L296_); trivial. % 1.74/1.84 apply (zenon_L309_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L295_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L315_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L296_); trivial. % 1.74/1.84 apply (zenon_L323_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L330_); trivial. % 1.74/1.84 apply (zenon_L339_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_L172_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L369_); trivial. % 1.74/1.84 apply (zenon_L339_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L379_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L381_); trivial. % 1.74/1.84 apply (zenon_L262_); trivial. % 1.74/1.84 apply (zenon_L277_); trivial. % 1.74/1.84 apply (zenon_L278_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L369_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L392_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L395_); trivial. % 1.74/1.84 apply (zenon_L352_); trivial. % 1.74/1.84 apply (zenon_L391_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L271_); trivial. % 1.74/1.84 apply (zenon_L227_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_L412_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L431_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L466_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L482_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L196_); trivial. % 1.74/1.84 apply (zenon_L489_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L210_); trivial. % 1.74/1.84 apply (zenon_L489_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L472_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L490_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L471_); trivial. % 1.74/1.84 apply (zenon_L220_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L492_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L214_); trivial. % 1.74/1.84 apply (zenon_L491_); trivial. % 1.74/1.84 apply (zenon_L221_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L495_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L501_); trivial. % 1.74/1.84 apply (zenon_L503_); trivial. % 1.74/1.84 apply (zenon_L241_); trivial. % 1.74/1.84 apply (zenon_L514_); trivial. % 1.74/1.84 apply (zenon_L515_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L516_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L466_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L519_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L525_); trivial. % 1.74/1.84 apply (zenon_L526_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L519_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L216_); trivial. % 1.74/1.84 apply (zenon_L526_); trivial. % 1.74/1.84 apply (zenon_L534_); trivial. % 1.74/1.84 apply (zenon_L548_); trivial. % 1.74/1.84 apply (zenon_L557_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L578_); trivial. % 1.74/1.84 apply (zenon_L466_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L578_); trivial. % 1.74/1.84 apply (zenon_L599_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L516_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L604_); trivial. % 1.74/1.84 apply (zenon_L262_); trivial. % 1.74/1.84 apply (zenon_L449_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L608_); trivial. % 1.74/1.84 apply (zenon_L616_); trivial. % 1.74/1.84 apply (zenon_L620_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L624_); trivial. % 1.74/1.84 apply (zenon_L625_); trivial. % 1.74/1.84 apply (zenon_L626_); trivial. % 1.74/1.84 apply (zenon_L627_); trivial. % 1.74/1.84 apply (zenon_L628_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L392_); trivial. % 1.74/1.84 apply (zenon_L616_); trivial. % 1.74/1.84 apply (zenon_L620_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L392_); trivial. % 1.74/1.84 apply (zenon_L625_); trivial. % 1.74/1.84 apply (zenon_L626_); trivial. % 1.74/1.84 apply (zenon_L534_); trivial. % 1.74/1.84 apply (zenon_L547_); trivial. % 1.74/1.84 apply (zenon_L630_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L643_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L639_); trivial. % 1.74/1.84 apply (zenon_L503_); trivial. % 1.74/1.84 apply (zenon_L241_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L505_); trivial. % 1.74/1.84 apply (zenon_L645_); trivial. % 1.74/1.84 apply (zenon_L512_); trivial. % 1.74/1.84 apply (zenon_L156_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L643_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_L630_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L636_); trivial. % 1.74/1.84 apply (zenon_L262_); trivial. % 1.74/1.84 apply (zenon_L495_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L652_); trivial. % 1.74/1.84 apply (zenon_L616_); trivial. % 1.74/1.84 apply (zenon_L620_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L652_); trivial. % 1.74/1.84 apply (zenon_L625_); trivial. % 1.74/1.84 apply (zenon_L626_); trivial. % 1.74/1.84 apply (zenon_L534_); trivial. % 1.74/1.84 apply (zenon_L577_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L653_); trivial. % 1.74/1.84 apply (zenon_L656_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_L689_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L694_); trivial. % 1.74/1.84 apply (zenon_L699_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L704_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L722_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_L689_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L694_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L659_); trivial. % 1.74/1.84 apply (zenon_L365_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L723_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L738_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L743_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L687_); trivial. % 1.74/1.84 apply (zenon_L744_); trivial. % 1.74/1.84 apply (zenon_L749_); trivial. % 1.74/1.84 apply (zenon_L750_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L754_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L757_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L702_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L762_); trivial. % 1.74/1.84 apply (zenon_L454_); trivial. % 1.74/1.84 apply (zenon_L766_); trivial. % 1.74/1.84 apply (zenon_L768_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L276_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L275_); trivial. % 1.74/1.84 apply (zenon_L769_); trivial. % 1.74/1.84 apply (zenon_L772_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L171_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L743_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L773_); trivial. % 1.74/1.84 apply (zenon_L774_); trivial. % 1.74/1.84 apply (zenon_L750_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L754_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L777_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L782_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L659_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L698_); trivial. % 1.74/1.84 apply (zenon_L781_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L783_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L703_); trivial. % 1.74/1.84 apply (zenon_L683_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L784_); trivial. % 1.74/1.84 apply (zenon_L699_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L704_); trivial. % 1.74/1.84 apply (zenon_L787_); trivial. % 1.74/1.84 apply (zenon_L722_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L782_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L659_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L353_); trivial. % 1.74/1.84 apply (zenon_L671_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L783_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L353_); trivial. % 1.74/1.84 apply (zenon_L683_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L784_); trivial. % 1.74/1.84 apply (zenon_L366_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L723_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L738_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L379_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L801_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L799_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L805_); trivial. % 1.74/1.84 apply (zenon_L327_); trivial. % 1.74/1.84 apply (zenon_L808_); trivial. % 1.74/1.84 apply (zenon_L812_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L817_); trivial. % 1.74/1.84 apply (zenon_L377_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L830_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L838_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L841_); trivial. % 1.74/1.84 apply (zenon_L811_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L838_); trivial. % 1.74/1.84 apply (zenon_L812_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L171_); trivial. % 1.74/1.84 apply (zenon_L850_); trivial. % 1.74/1.84 apply (zenon_L777_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_L854_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_L854_); trivial. % 1.74/1.84 apply (zenon_L863_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L893_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L902_); trivial. % 1.74/1.84 apply (zenon_L906_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_L918_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L927_); trivial. % 1.74/1.84 apply (zenon_L906_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L929_); trivial. % 1.74/1.84 apply (zenon_L906_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L931_); trivial. % 1.74/1.84 apply (zenon_L932_); trivial. % 1.74/1.84 apply (zenon_L449_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L939_); trivial. % 1.74/1.84 apply (zenon_L932_); trivial. % 1.74/1.84 apply (zenon_L878_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L493_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L732_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L770_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L218_); trivial. % 1.74/1.84 apply (zenon_L940_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L893_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L942_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L943_); trivial. % 1.74/1.84 apply (zenon_L503_); trivial. % 1.74/1.84 apply (zenon_L241_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L947_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L954_); trivial. % 1.74/1.84 apply (zenon_L912_); trivial. % 1.74/1.84 apply (zenon_L955_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L961_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L753_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L867_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L868_); trivial. % 1.74/1.84 apply (zenon_L932_); trivial. % 1.74/1.84 apply (zenon_L575_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L967_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L970_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L977_); trivial. % 1.74/1.84 apply (zenon_L932_); trivial. % 1.74/1.84 apply (zenon_L912_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L979_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L978_); trivial. % 1.74/1.84 apply (zenon_L772_); trivial. % 1.74/1.84 apply (zenon_L533_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L961_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L753_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L867_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L868_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L732_); trivial. % 1.74/1.84 apply (zenon_L980_); trivial. % 1.74/1.84 apply (zenon_L575_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L849_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L982_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L993_); trivial. % 1.74/1.84 apply (zenon_L994_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_L997_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1007_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1011_); trivial. % 1.74/1.84 apply (zenon_L1013_); trivial. % 1.74/1.84 apply (zenon_L449_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L939_); trivial. % 1.74/1.84 apply (zenon_L1013_); trivial. % 1.74/1.84 apply (zenon_L912_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L493_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L494_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1017_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L770_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L218_); trivial. % 1.74/1.84 apply (zenon_L1016_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L982_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L629_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_L918_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L629_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1020_); trivial. % 1.74/1.84 apply (zenon_L449_); trivial. % 1.74/1.84 apply (zenon_L955_); trivial. % 1.74/1.84 apply (zenon_L1021_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L982_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L967_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L966_); trivial. % 1.74/1.84 apply (zenon_L1025_); trivial. % 1.74/1.84 apply (zenon_L850_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_L1050_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_L1050_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L185_); trivial. % 1.74/1.84 apply (zenon_L816_); trivial. % 1.74/1.84 apply (zenon_L1051_); trivial. % 1.74/1.84 apply (zenon_L377_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1058_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1059_); trivial. % 1.74/1.84 apply (zenon_L377_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1060_); trivial. % 1.74/1.84 apply (zenon_L577_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L455_); trivial. % 1.74/1.84 apply (zenon_L1051_); trivial. % 1.74/1.84 apply (zenon_L1065_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1058_); trivial. % 1.74/1.84 apply (zenon_L1066_); trivial. % 1.74/1.84 apply (zenon_L860_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.84 apply (zenon_L452_); trivial. % 1.74/1.84 apply (zenon_L170_); trivial. % 1.74/1.84 apply (zenon_L1051_); trivial. % 1.74/1.84 apply (zenon_L1070_); trivial. % 1.74/1.84 apply (zenon_L1071_); trivial. % 1.74/1.84 apply (zenon_L1074_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1077_); trivial. % 1.74/1.84 apply (zenon_L1080_); trivial. % 1.74/1.84 apply (zenon_L860_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1086_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L653_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L655_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L654_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1076_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L155_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L862_); trivial. % 1.74/1.84 apply (zenon_L846_); trivial. % 1.74/1.84 apply (zenon_L1012_); trivial. % 1.74/1.84 apply (zenon_L878_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L494_); trivial. % 1.74/1.84 apply (zenon_L1088_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H381. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2b4. zenon_intro zenon_H382. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2b5. zenon_intro zenon_H2b6. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_L1090_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1104_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1119_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L477_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1123_); trivial. % 1.74/1.84 apply (zenon_L1118_); trivial. % 1.74/1.84 apply (zenon_L1125_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L1134_); trivial. % 1.74/1.84 apply (zenon_L1142_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1155_); trivial. % 1.74/1.84 apply (zenon_L1162_); trivial. % 1.74/1.84 apply (zenon_L1166_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1104_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1170_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1171_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L283_); trivial. % 1.74/1.84 apply (zenon_L1173_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1174_); trivial. % 1.74/1.84 apply (zenon_L1124_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L1134_); trivial. % 1.74/1.84 apply (zenon_L548_); trivial. % 1.74/1.84 apply (zenon_L557_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1099_); trivial. % 1.74/1.84 apply (zenon_L1179_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1119_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L477_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1186_); trivial. % 1.74/1.84 apply (zenon_L1118_); trivial. % 1.74/1.84 apply (zenon_L1125_); trivial. % 1.74/1.84 apply (zenon_L1179_); trivial. % 1.74/1.84 apply (zenon_L495_); trivial. % 1.74/1.84 apply (zenon_L1142_); trivial. % 1.74/1.84 apply (zenon_L1194_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1200_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1170_); trivial. % 1.74/1.84 apply (zenon_L1210_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1211_); trivial. % 1.74/1.84 apply (zenon_L1213_); trivial. % 1.74/1.84 apply (zenon_L572_); trivial. % 1.74/1.84 apply (zenon_L1085_); trivial. % 1.74/1.84 apply (zenon_L1142_); trivial. % 1.74/1.84 apply (zenon_L1216_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1220_); trivial. % 1.74/1.84 apply (zenon_L642_); trivial. % 1.74/1.84 apply (zenon_L1222_); trivial. % 1.74/1.84 apply (zenon_L1225_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1227_); trivial. % 1.74/1.84 apply (zenon_L642_); trivial. % 1.74/1.84 apply (zenon_L1228_); trivial. % 1.74/1.84 apply (zenon_L1225_); trivial. % 1.74/1.84 apply (zenon_L1229_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1200_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L652_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1126_); trivial. % 1.74/1.84 apply (zenon_L1204_); trivial. % 1.74/1.84 apply (zenon_L391_); trivial. % 1.74/1.84 apply (zenon_L1210_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L652_); trivial. % 1.74/1.84 apply (zenon_L1212_); trivial. % 1.74/1.84 apply (zenon_L1213_); trivial. % 1.74/1.84 apply (zenon_L1179_); trivial. % 1.74/1.84 apply (zenon_L1134_); trivial. % 1.74/1.84 apply (zenon_L1216_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1235_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1238_); trivial. % 1.74/1.84 apply (zenon_L1240_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L722_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1244_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L1248_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1253_); trivial. % 1.74/1.84 apply (zenon_L754_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1253_); trivial. % 1.74/1.84 apply (zenon_L171_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1244_); trivial. % 1.74/1.84 apply (zenon_L754_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L1257_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1235_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1238_); trivial. % 1.74/1.84 apply (zenon_L1258_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L717_); trivial. % 1.74/1.84 apply (zenon_L722_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1244_); trivial. % 1.74/1.84 apply (zenon_L787_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L1262_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L379_); trivial. % 1.74/1.84 apply (zenon_L1264_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L817_); trivial. % 1.74/1.84 apply (zenon_L1258_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L830_); trivial. % 1.74/1.84 apply (zenon_L1265_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L838_); trivial. % 1.74/1.84 apply (zenon_L1266_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L1269_); trivial. % 1.74/1.84 apply (zenon_L1270_); trivial. % 1.74/1.84 apply (zenon_L751_); trivial. % 1.74/1.84 apply (zenon_L171_); trivial. % 1.74/1.84 apply (zenon_L850_); trivial. % 1.74/1.84 apply (zenon_L777_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_L397_); trivial. % 1.74/1.84 apply (zenon_L1229_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_L397_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1272_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1275_); trivial. % 1.74/1.84 apply (zenon_L1276_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_L918_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1278_); trivial. % 1.74/1.84 apply (zenon_L1276_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_L1261_); trivial. % 1.74/1.84 apply (zenon_L1279_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1272_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1155_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1223_); trivial. % 1.74/1.84 apply (zenon_L1261_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1272_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L967_); trivial. % 1.74/1.84 apply (zenon_L1287_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1272_); trivial. % 1.74/1.84 apply (zenon_L849_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1272_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1275_); trivial. % 1.74/1.84 apply (zenon_L994_); trivial. % 1.74/1.84 apply (zenon_L928_); trivial. % 1.74/1.84 apply (zenon_L915_); trivial. % 1.74/1.84 apply (zenon_L918_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1007_); trivial. % 1.74/1.84 apply (zenon_L1179_); trivial. % 1.74/1.84 apply (zenon_L1192_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1291_); trivial. % 1.74/1.84 apply (zenon_L1194_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1296_); trivial. % 1.74/1.84 apply (zenon_L850_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1232_); trivial. % 1.74/1.84 apply (zenon_L1038_); trivial. % 1.74/1.84 apply (zenon_L642_); trivial. % 1.74/1.84 apply (zenon_L1298_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_L1047_); trivial. % 1.74/1.84 apply (zenon_L1299_); trivial. % 1.74/1.84 apply (zenon_L1225_); trivial. % 1.74/1.84 apply (zenon_L960_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1227_); trivial. % 1.74/1.84 apply (zenon_L1300_); trivial. % 1.74/1.84 apply (zenon_L1301_); trivial. % 1.74/1.84 apply (zenon_L1298_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1046_); trivial. % 1.74/1.84 apply (zenon_L1300_); trivial. % 1.74/1.84 apply (zenon_L1301_); trivial. % 1.74/1.84 apply (zenon_L1192_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1187_); trivial. % 1.74/1.84 apply (zenon_L1224_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1307_); trivial. % 1.74/1.84 apply (zenon_L1308_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1058_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1310_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1060_); trivial. % 1.74/1.84 apply (zenon_L1311_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1232_); trivial. % 1.74/1.84 apply (zenon_L1308_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1058_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1313_); trivial. % 1.74/1.84 apply (zenon_L1055_); trivial. % 1.74/1.84 apply (zenon_L1060_); trivial. % 1.74/1.84 apply (zenon_L1298_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1307_); trivial. % 1.74/1.84 apply (zenon_L1070_); trivial. % 1.74/1.84 apply (zenon_L1071_); trivial. % 1.74/1.84 apply (zenon_L1074_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1310_); trivial. % 1.74/1.84 apply (zenon_L1079_); trivial. % 1.74/1.84 apply (zenon_L1080_); trivial. % 1.74/1.84 apply (zenon_L1192_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1086_); trivial. % 1.74/1.84 apply (zenon_L1216_); trivial. % 1.74/1.84 apply (zenon_L1217_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H383. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2cd. zenon_intro zenon_H384. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H2cb. zenon_intro zenon_H2cc. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1338_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L178_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L173_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_L1343_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L106_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L1341_); trivial. % 1.74/1.84 apply (zenon_L37_); trivial. % 1.74/1.84 apply (zenon_L112_); trivial. % 1.74/1.84 apply (zenon_L114_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L1346_); trivial. % 1.74/1.84 apply (zenon_L1356_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L1367_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L264_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_L1373_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1375_); trivial. % 1.74/1.84 apply (zenon_L1378_); trivial. % 1.74/1.84 apply (zenon_L1381_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L284_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1383_); trivial. % 1.74/1.84 apply (zenon_L1388_); trivial. % 1.74/1.84 apply (zenon_L1355_); trivial. % 1.74/1.84 apply (zenon_L1393_); trivial. % 1.74/1.84 apply (zenon_L1399_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1409_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1410_); trivial. % 1.74/1.84 apply (zenon_L1356_); trivial. % 1.74/1.84 apply (zenon_L729_); trivial. % 1.74/1.84 apply (zenon_L1367_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1411_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L1410_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L315_); trivial. % 1.74/1.84 apply (zenon_L1412_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L395_); trivial. % 1.74/1.84 apply (zenon_L1384_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L395_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L1342_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L343_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.84 apply (zenon_L355_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.74/1.84 apply (zenon_L1414_); trivial. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.74/1.84 apply (zenon_L344_); trivial. % 1.74/1.84 exact (zenon_H5 zenon_H6). % 1.74/1.84 apply (zenon_L1415_); trivial. % 1.74/1.84 apply (zenon_L1417_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L1404_); trivial. % 1.74/1.84 apply (zenon_L1355_); trivial. % 1.74/1.84 apply (zenon_L1393_); trivial. % 1.74/1.84 apply (zenon_L1399_); trivial. % 1.74/1.84 apply (zenon_L412_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1434_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1435_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1436_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_L93_); trivial. % 1.74/1.84 apply (zenon_L1438_); trivial. % 1.74/1.84 apply (zenon_L1442_); trivial. % 1.74/1.84 apply (zenon_L1444_); trivial. % 1.74/1.84 apply (zenon_L1419_); trivial. % 1.74/1.84 apply (zenon_L1445_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1436_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L904_); trivial. % 1.74/1.84 apply (zenon_L1348_); trivial. % 1.74/1.84 apply (zenon_L1444_); trivial. % 1.74/1.84 apply (zenon_L1337_); trivial. % 1.74/1.84 apply (zenon_L1432_); trivial. % 1.74/1.84 apply (zenon_L1452_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1454_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L518_); trivial. % 1.74/1.84 apply (zenon_L1387_); trivial. % 1.74/1.84 apply (zenon_L1419_); trivial. % 1.74/1.84 apply (zenon_L1445_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1383_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1351_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L1457_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L1458_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.74/1.84 apply (zenon_L1459_); trivial. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.74/1.84 apply (zenon_L460_); trivial. % 1.74/1.84 exact (zenon_H5 zenon_H6). % 1.74/1.84 apply (zenon_L1387_); trivial. % 1.74/1.84 apply (zenon_L1445_); trivial. % 1.74/1.84 apply (zenon_L1393_); trivial. % 1.74/1.84 apply (zenon_L1464_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1467_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L1435_); trivial. % 1.74/1.84 apply (zenon_L1474_); trivial. % 1.74/1.84 apply (zenon_L1476_); trivial. % 1.74/1.84 apply (zenon_L1486_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1434_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L639_); trivial. % 1.74/1.84 apply (zenon_L1444_); trivial. % 1.74/1.84 apply (zenon_L1432_); trivial. % 1.74/1.84 apply (zenon_L1452_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1434_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_L1474_); trivial. % 1.74/1.84 apply (zenon_L1476_); trivial. % 1.74/1.84 apply (zenon_L1486_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_L1505_); trivial. % 1.74/1.84 apply (zenon_L1510_); trivial. % 1.74/1.84 apply (zenon_L1512_); trivial. % 1.74/1.84 apply (zenon_L1520_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_L397_); trivial. % 1.74/1.84 apply (zenon_L1512_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_L1524_); trivial. % 1.74/1.84 apply (zenon_L1525_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L1526_); trivial. % 1.74/1.84 apply (zenon_L22_); trivial. % 1.74/1.84 apply (zenon_L1493_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1521_); trivial. % 1.74/1.84 apply (zenon_L1037_); trivial. % 1.74/1.84 apply (zenon_L1319_); trivial. % 1.74/1.84 apply (zenon_L1511_); trivial. % 1.74/1.84 apply (zenon_L1504_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_L1523_); trivial. % 1.74/1.84 apply (zenon_L1512_); trivial. % 1.74/1.84 apply (zenon_L646_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_L1542_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_L644_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1436_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_L1543_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L727_); trivial. % 1.74/1.84 apply (zenon_L1470_); trivial. % 1.74/1.84 apply (zenon_L1442_); trivial. % 1.74/1.84 apply (zenon_L500_); trivial. % 1.74/1.84 apply (zenon_L1444_); trivial. % 1.74/1.84 apply (zenon_L1473_); trivial. % 1.74/1.84 apply (zenon_L1419_); trivial. % 1.74/1.84 apply (zenon_L1511_); trivial. % 1.74/1.84 apply (zenon_L1504_); trivial. % 1.74/1.84 apply (zenon_L1512_); trivial. % 1.74/1.84 apply (zenon_L1553_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H12. zenon_intro zenon_H385. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2e8. zenon_intro zenon_H386. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2e9. zenon_intro zenon_H2e7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H86 | zenon_intro zenon_H375 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H22d | zenon_intro zenon_H376 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L295_); trivial. % 1.74/1.84 apply (zenon_L1557_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1561_); trivial. % 1.74/1.84 apply (zenon_L158_); trivial. % 1.74/1.84 apply (zenon_L1567_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L178_); trivial. % 1.74/1.84 apply (zenon_L1557_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1569_); trivial. % 1.74/1.84 apply (zenon_L212_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1568_); trivial. % 1.74/1.84 apply (zenon_L1574_); trivial. % 1.74/1.84 apply (zenon_L1575_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L213_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L155_); trivial. % 1.74/1.84 apply (zenon_L1574_); trivial. % 1.74/1.84 apply (zenon_L1575_); trivial. % 1.74/1.84 apply (zenon_L1578_); trivial. % 1.74/1.84 apply (zenon_L158_); trivial. % 1.74/1.84 apply (zenon_L227_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L264_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1561_); trivial. % 1.74/1.84 apply (zenon_L271_); trivial. % 1.74/1.84 apply (zenon_L1567_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1581_); trivial. % 1.74/1.84 apply (zenon_L1588_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L1580_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L1556_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.84 apply (zenon_L4_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.74/1.84 apply (zenon_L1589_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_L55_); trivial. % 1.74/1.84 apply (zenon_L1591_); trivial. % 1.74/1.84 apply (zenon_L1594_); trivial. % 1.74/1.84 apply (zenon_L1596_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1597_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L155_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L1598_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.84 apply (zenon_L4_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H12. zenon_intro zenon_Hed. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H16. zenon_intro zenon_Hee. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H14. zenon_intro zenon_H15. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.74/1.84 apply (zenon_L1589_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.74/1.84 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.84 apply (zenon_L23_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L14_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.84 apply (zenon_L621_); trivial. % 1.74/1.84 apply (zenon_L1601_); trivial. % 1.74/1.84 apply (zenon_L1594_); trivial. % 1.74/1.84 apply (zenon_L1596_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L271_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1581_); trivial. % 1.74/1.84 apply (zenon_L1602_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1603_); trivial. % 1.74/1.84 apply (zenon_L1604_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1597_); trivial. % 1.74/1.84 apply (zenon_L368_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L271_); trivial. % 1.74/1.84 apply (zenon_L291_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1605_); trivial. % 1.74/1.84 apply (zenon_L1611_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1612_); trivial. % 1.74/1.84 apply (zenon_L1611_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1605_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H21f | zenon_intro zenon_H236 ]. % 1.74/1.84 apply (zenon_L315_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H237. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H224. zenon_intro zenon_H238. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1610_); trivial. % 1.74/1.84 apply (zenon_L323_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L1612_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1610_); trivial. % 1.74/1.84 apply (zenon_L367_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_L1617_); trivial. % 1.74/1.84 apply (zenon_L1567_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_L369_); trivial. % 1.74/1.84 apply (zenon_L1617_); trivial. % 1.74/1.84 apply (zenon_L242_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L379_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L381_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1610_); trivial. % 1.74/1.84 apply (zenon_L377_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L379_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L381_); trivial. % 1.74/1.84 apply (zenon_L1618_); trivial. % 1.74/1.84 apply (zenon_L1615_); trivial. % 1.74/1.84 apply (zenon_L1619_); trivial. % 1.74/1.84 apply (zenon_L1622_); trivial. % 1.74/1.84 apply (zenon_L1567_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L1623_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L624_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L155_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.74/1.84 apply (zenon_L611_); trivial. % 1.74/1.84 apply (zenon_L1624_); trivial. % 1.74/1.84 apply (zenon_L391_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_L1623_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L624_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L155_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H97 | zenon_intro zenon_Hab ]. % 1.74/1.84 apply (zenon_L319_); trivial. % 1.74/1.84 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H65 | zenon_intro zenon_Ha0 ]. % 1.74/1.84 apply (zenon_L545_); trivial. % 1.74/1.84 apply (zenon_L361_); trivial. % 1.74/1.84 apply (zenon_L153_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1630_); trivial. % 1.74/1.84 apply (zenon_L1631_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L224_); trivial. % 1.74/1.84 apply (zenon_L1631_); trivial. % 1.74/1.84 apply (zenon_L1632_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_L397_); trivial. % 1.74/1.84 apply (zenon_L1633_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L424_); trivial. % 1.74/1.84 apply (zenon_L1635_); trivial. % 1.74/1.84 apply (zenon_L1640_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1645_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1569_); trivial. % 1.74/1.84 apply (zenon_L489_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L185_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L27_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L904_); trivial. % 1.74/1.84 apply (zenon_L1646_); trivial. % 1.74/1.84 apply (zenon_L1647_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L483_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_H12. zenon_intro zenon_H104. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H8f. zenon_intro zenon_H105. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H90. zenon_intro zenon_H8e. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.84 apply (zenon_L76_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.84 apply (zenon_L507_); trivial. % 1.74/1.84 apply (zenon_L1646_); trivial. % 1.74/1.84 apply (zenon_L488_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L472_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.84 apply (zenon_L1072_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.84 apply (zenon_L1650_); trivial. % 1.74/1.84 apply (zenon_L120_); trivial. % 1.74/1.84 apply (zenon_L1577_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L492_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L1651_); trivial. % 1.74/1.84 apply (zenon_L491_); trivial. % 1.74/1.84 apply (zenon_L1578_); trivial. % 1.74/1.84 apply (zenon_L450_); trivial. % 1.74/1.84 apply (zenon_L495_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L501_); trivial. % 1.74/1.84 apply (zenon_L585_); trivial. % 1.74/1.84 apply (zenon_L1644_); trivial. % 1.74/1.84 apply (zenon_L241_); trivial. % 1.74/1.84 apply (zenon_L514_); trivial. % 1.74/1.84 apply (zenon_L515_); trivial. % 1.74/1.84 apply (zenon_L1166_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1653_); trivial. % 1.74/1.84 apply (zenon_L1640_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L519_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_L525_); trivial. % 1.74/1.84 apply (zenon_L1643_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_L519_); trivial. % 1.74/1.84 apply (zenon_L1654_); trivial. % 1.74/1.84 apply (zenon_L534_); trivial. % 1.74/1.84 apply (zenon_L548_); trivial. % 1.74/1.84 apply (zenon_L557_); trivial. % 1.74/1.84 apply (zenon_L292_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L294_); trivial. % 1.74/1.84 apply (zenon_L423_); trivial. % 1.74/1.84 apply (zenon_L1643_); trivial. % 1.74/1.84 apply (zenon_L1640_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.84 apply (zenon_L132_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.84 apply (zenon_L418_); trivial. % 1.74/1.84 apply (zenon_L1655_); trivial. % 1.74/1.84 apply (zenon_L1635_); trivial. % 1.74/1.84 apply (zenon_L1652_); trivial. % 1.74/1.84 apply (zenon_L1640_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1645_); trivial. % 1.74/1.84 apply (zenon_L572_); trivial. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.84 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.84 apply (zenon_L1616_); trivial. % 1.74/1.85 apply (zenon_L572_); trivial. % 1.74/1.85 apply (zenon_L577_); trivial. % 1.74/1.85 apply (zenon_L599_); trivial. % 1.74/1.85 apply (zenon_L292_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1653_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L604_); trivial. % 1.74/1.85 apply (zenon_L1639_); trivial. % 1.74/1.85 apply (zenon_L533_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1660_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1662_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H84 | zenon_intro zenon_Had ]. % 1.74/1.85 apply (zenon_L561_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H12. zenon_intro zenon_Hae. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Ha2. zenon_intro zenon_Haf. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha1. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.85 apply (zenon_L1658_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1207_); trivial. % 1.74/1.85 apply (zenon_L1184_); trivial. % 1.74/1.85 apply (zenon_L215_); trivial. % 1.74/1.85 apply (zenon_L1664_); trivial. % 1.74/1.85 apply (zenon_L627_); trivial. % 1.74/1.85 apply (zenon_L628_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1630_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1082_); trivial. % 1.74/1.85 apply (zenon_L533_); trivial. % 1.74/1.85 apply (zenon_L1085_); trivial. % 1.74/1.85 apply (zenon_L1632_); trivial. % 1.74/1.85 apply (zenon_L292_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1668_); trivial. % 1.74/1.85 apply (zenon_L1672_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_L1672_); trivial. % 1.74/1.85 apply (zenon_L1673_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_L646_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1668_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1679_); trivial. % 1.74/1.85 apply (zenon_L1680_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_L1682_); trivial. % 1.74/1.85 apply (zenon_L1673_); trivial. % 1.74/1.85 apply (zenon_L292_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L1687_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_L1694_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L1687_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_L1696_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L652_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L1698_); trivial. % 1.74/1.85 apply (zenon_L1700_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1708_); trivial. % 1.74/1.85 apply (zenon_L722_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1708_); trivial. % 1.74/1.85 apply (zenon_L1509_); trivial. % 1.74/1.85 apply (zenon_L738_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1711_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L757_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L1565_); trivial. % 1.74/1.85 apply (zenon_L720_); trivial. % 1.74/1.85 apply (zenon_L768_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L276_); trivial. % 1.74/1.85 apply (zenon_L1716_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_L171_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1711_); trivial. % 1.74/1.85 apply (zenon_L849_); trivial. % 1.74/1.85 apply (zenon_L777_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1718_); trivial. % 1.74/1.85 apply (zenon_L722_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1718_); trivial. % 1.74/1.85 apply (zenon_L1509_); trivial. % 1.74/1.85 apply (zenon_L738_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1721_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L800_); trivial. % 1.74/1.85 apply (zenon_L1723_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1724_); trivial. % 1.74/1.85 apply (zenon_L1723_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1726_); trivial. % 1.74/1.85 apply (zenon_L1730_); trivial. % 1.74/1.85 apply (zenon_L830_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L838_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L799_); trivial. % 1.74/1.85 apply (zenon_L215_); trivial. % 1.74/1.85 apply (zenon_L836_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1713_); trivial. % 1.74/1.85 apply (zenon_L1731_); trivial. % 1.74/1.85 apply (zenon_L836_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1728_); trivial. % 1.74/1.85 apply (zenon_L1732_); trivial. % 1.74/1.85 apply (zenon_L1734_); trivial. % 1.74/1.85 apply (zenon_L1730_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1024_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.85 apply (zenon_L819_); trivial. % 1.74/1.85 apply (zenon_L170_); trivial. % 1.74/1.85 apply (zenon_L255_); trivial. % 1.74/1.85 apply (zenon_L215_); trivial. % 1.74/1.85 apply (zenon_L827_); trivial. % 1.74/1.85 apply (zenon_L1735_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_L850_); trivial. % 1.74/1.85 apply (zenon_L777_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_L1737_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_L1736_); trivial. % 1.74/1.85 apply (zenon_L863_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1743_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L902_); trivial. % 1.74/1.85 apply (zenon_L1745_); trivial. % 1.74/1.85 apply (zenon_L915_); trivial. % 1.74/1.85 apply (zenon_L918_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L927_); trivial. % 1.74/1.85 apply (zenon_L1750_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L895_); trivial. % 1.74/1.85 apply (zenon_L1753_); trivial. % 1.74/1.85 apply (zenon_L255_); trivial. % 1.74/1.85 apply (zenon_L215_); trivial. % 1.74/1.85 apply (zenon_L1750_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L929_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1749_); trivial. % 1.74/1.85 apply (zenon_L1754_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L931_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1755_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L907_); trivial. % 1.74/1.85 apply (zenon_L1756_); trivial. % 1.74/1.85 apply (zenon_L912_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L939_); trivial. % 1.74/1.85 apply (zenon_L1757_); trivial. % 1.74/1.85 apply (zenon_L878_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L732_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L930_); trivial. % 1.74/1.85 apply (zenon_L940_); trivial. % 1.74/1.85 apply (zenon_L1757_); trivial. % 1.74/1.85 apply (zenon_L1754_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1743_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L942_); trivial. % 1.74/1.85 apply (zenon_L1763_); trivial. % 1.74/1.85 apply (zenon_L241_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L949_); trivial. % 1.74/1.85 apply (zenon_L847_); trivial. % 1.74/1.85 apply (zenon_L1766_); trivial. % 1.74/1.85 apply (zenon_L1762_); trivial. % 1.74/1.85 apply (zenon_L1763_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1770_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1773_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L919_); trivial. % 1.74/1.85 apply (zenon_L941_); trivial. % 1.74/1.85 apply (zenon_L1776_); trivial. % 1.74/1.85 apply (zenon_L241_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L954_); trivial. % 1.74/1.85 apply (zenon_L1776_); trivial. % 1.74/1.85 apply (zenon_L955_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1783_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L967_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L970_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L977_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L973_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L907_); trivial. % 1.74/1.85 apply (zenon_L1789_); trivial. % 1.74/1.85 apply (zenon_L912_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L979_); trivial. % 1.74/1.85 apply (zenon_L1782_); trivial. % 1.74/1.85 apply (zenon_L1754_); trivial. % 1.74/1.85 apply (zenon_L751_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1783_); trivial. % 1.74/1.85 apply (zenon_L1792_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L982_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L993_); trivial. % 1.74/1.85 apply (zenon_L1745_); trivial. % 1.74/1.85 apply (zenon_L1795_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L995_); trivial. % 1.74/1.85 apply (zenon_L911_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L995_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L907_); trivial. % 1.74/1.85 apply (zenon_L1798_); trivial. % 1.74/1.85 apply (zenon_L912_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L996_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1798_); trivial. % 1.74/1.85 apply (zenon_L912_); trivial. % 1.74/1.85 apply (zenon_L997_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1005_); trivial. % 1.74/1.85 apply (zenon_L1801_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L895_); trivial. % 1.74/1.85 apply (zenon_L1802_); trivial. % 1.74/1.85 apply (zenon_L273_); trivial. % 1.74/1.85 apply (zenon_L120_); trivial. % 1.74/1.85 apply (zenon_L255_); trivial. % 1.74/1.85 apply (zenon_L215_); trivial. % 1.74/1.85 apply (zenon_L1801_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1006_); trivial. % 1.74/1.85 apply (zenon_L1803_); trivial. % 1.74/1.85 apply (zenon_L1754_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1011_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1755_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L907_); trivial. % 1.74/1.85 apply (zenon_L1804_); trivial. % 1.74/1.85 apply (zenon_L912_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L995_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1010_); trivial. % 1.74/1.85 apply (zenon_L1805_); trivial. % 1.74/1.85 apply (zenon_L878_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1017_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L1008_); trivial. % 1.74/1.85 apply (zenon_L1016_); trivial. % 1.74/1.85 apply (zenon_L1805_); trivial. % 1.74/1.85 apply (zenon_L1754_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L982_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1807_); trivial. % 1.74/1.85 apply (zenon_L1763_); trivial. % 1.74/1.85 apply (zenon_L241_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1018_); trivial. % 1.74/1.85 apply (zenon_L1765_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1018_); trivial. % 1.74/1.85 apply (zenon_L1761_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L441_); trivial. % 1.74/1.85 apply (zenon_L1810_); trivial. % 1.74/1.85 apply (zenon_L1816_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_L1816_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1807_); trivial. % 1.74/1.85 apply (zenon_L1776_); trivial. % 1.74/1.85 apply (zenon_L241_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1020_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L441_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L440_); trivial. % 1.74/1.85 apply (zenon_L1774_); trivial. % 1.74/1.85 apply (zenon_L1818_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_L1818_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1819_); trivial. % 1.74/1.85 apply (zenon_L1820_); trivial. % 1.74/1.85 apply (zenon_L775_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1819_); trivial. % 1.74/1.85 apply (zenon_L1822_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_L829_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L897_); trivial. % 1.74/1.85 apply (zenon_L1823_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L897_); trivial. % 1.74/1.85 apply (zenon_L1267_); trivial. % 1.74/1.85 apply (zenon_L1282_); trivial. % 1.74/1.85 apply (zenon_L1820_); trivial. % 1.74/1.85 apply (zenon_L775_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1821_); trivial. % 1.74/1.85 apply (zenon_L1824_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1821_); trivial. % 1.74/1.85 apply (zenon_L1825_); trivial. % 1.74/1.85 apply (zenon_L1282_); trivial. % 1.74/1.85 apply (zenon_L1822_); trivial. % 1.74/1.85 apply (zenon_L1025_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1826_); trivial. % 1.74/1.85 apply (zenon_L1827_); trivial. % 1.74/1.85 apply (zenon_L627_); trivial. % 1.74/1.85 apply (zenon_L628_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1826_); trivial. % 1.74/1.85 apply (zenon_L1615_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_L1828_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L494_); trivial. % 1.74/1.85 apply (zenon_L1828_); trivial. % 1.74/1.85 apply (zenon_L1792_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1829_); trivial. % 1.74/1.85 apply (zenon_L1037_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1830_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_L1831_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1830_); trivial. % 1.74/1.85 apply (zenon_L1832_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_L646_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1829_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L1027_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.85 apply (zenon_L1833_); trivial. % 1.74/1.85 apply (zenon_L1035_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1834_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1841_); trivial. % 1.74/1.85 apply (zenon_L1843_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1829_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L1027_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H122. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H111. zenon_intro zenon_H123. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H112. zenon_intro zenon_H110. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.85 apply (zenon_L1052_); trivial. % 1.74/1.85 apply (zenon_L1846_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1834_); trivial. % 1.74/1.85 apply (zenon_L1832_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1847_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L1694_); trivial. % 1.74/1.85 apply (zenon_L860_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1855_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1856_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L860_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1840_); trivial. % 1.74/1.85 apply (zenon_L1857_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1691_); trivial. % 1.74/1.85 apply (zenon_L1857_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L860_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1826_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L1698_); trivial. % 1.74/1.85 apply (zenon_L1700_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H381. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2b4. zenon_intro zenon_H382. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2b5. zenon_intro zenon_H2b6. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.85 apply (zenon_L1090_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1859_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1119_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1171_); trivial. % 1.74/1.85 apply (zenon_L1861_); trivial. % 1.74/1.85 apply (zenon_L1125_); trivial. % 1.74/1.85 apply (zenon_L1141_); trivial. % 1.74/1.85 apply (zenon_L1298_); trivial. % 1.74/1.85 apply (zenon_L1142_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H27 | zenon_intro zenon_H101 ]. % 1.74/1.85 apply (zenon_L1145_); trivial. % 1.74/1.85 apply (zenon_L1864_); trivial. % 1.74/1.85 apply (zenon_L500_); trivial. % 1.74/1.85 apply (zenon_L1865_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1215_); trivial. % 1.74/1.85 apply (zenon_L1861_); trivial. % 1.74/1.85 apply (zenon_L241_); trivial. % 1.74/1.85 apply (zenon_L1162_); trivial. % 1.74/1.85 apply (zenon_L1298_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1223_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3 | zenon_intro zenon_Hec ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1143_); trivial. % 1.74/1.85 apply (zenon_L139_); trivial. % 1.74/1.85 apply (zenon_L170_); trivial. % 1.74/1.85 apply (zenon_L513_); trivial. % 1.74/1.85 apply (zenon_L292_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1859_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1170_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1866_); trivial. % 1.74/1.85 apply (zenon_L1861_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1211_); trivial. % 1.74/1.85 apply (zenon_L1867_); trivial. % 1.74/1.85 apply (zenon_L1868_); trivial. % 1.74/1.85 apply (zenon_L1298_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1869_); trivial. % 1.74/1.85 apply (zenon_L1169_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1866_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1201_); trivial. % 1.74/1.85 apply (zenon_L1870_); trivial. % 1.74/1.85 apply (zenon_L1173_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1140_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L216_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1870_); trivial. % 1.74/1.85 apply (zenon_L1868_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L26_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.85 apply (zenon_L225_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.85 apply (zenon_L1554_); trivial. % 1.74/1.85 apply (zenon_L1871_); trivial. % 1.74/1.85 apply (zenon_L1132_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1873_); trivial. % 1.74/1.85 apply (zenon_L1132_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1877_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L655_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L654_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L155_); trivial. % 1.74/1.85 apply (zenon_L1878_); trivial. % 1.74/1.85 apply (zenon_L555_); trivial. % 1.74/1.85 apply (zenon_L1132_); trivial. % 1.74/1.85 apply (zenon_L1879_); trivial. % 1.74/1.85 apply (zenon_L292_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_L1882_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_L1888_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1235_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1891_); trivial. % 1.74/1.85 apply (zenon_L1894_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1100_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L676_); trivial. % 1.74/1.85 apply (zenon_L706_); trivial. % 1.74/1.85 apply (zenon_L1899_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1900_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1902_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1283_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1249_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.74/1.85 apply (zenon_L823_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.74/1.85 apply (zenon_L1897_); trivial. % 1.74/1.85 exact (zenon_H5 zenon_H6). % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1910_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1913_); trivial. % 1.74/1.85 apply (zenon_L1240_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1900_); trivial. % 1.74/1.85 apply (zenon_L1914_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1916_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1895_); trivial. % 1.74/1.85 apply (zenon_L1917_); trivial. % 1.74/1.85 apply (zenon_L1924_); trivial. % 1.74/1.85 apply (zenon_L1926_); trivial. % 1.74/1.85 apply (zenon_L1927_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1913_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1895_); trivial. % 1.74/1.85 apply (zenon_L1929_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1902_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1895_); trivial. % 1.74/1.85 apply (zenon_L1931_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1900_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L475_); trivial. % 1.74/1.85 apply (zenon_L1901_); trivial. % 1.74/1.85 apply (zenon_L1932_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_L1248_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1235_); trivial. % 1.74/1.85 apply (zenon_L1933_); trivial. % 1.74/1.85 apply (zenon_L1934_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1910_); trivial. % 1.74/1.85 apply (zenon_L1934_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1936_); trivial. % 1.74/1.85 apply (zenon_L1934_); trivial. % 1.74/1.85 apply (zenon_L1257_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1235_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1937_); trivial. % 1.74/1.85 apply (zenon_L1894_); trivial. % 1.74/1.85 apply (zenon_L1938_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1946_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1947_); trivial. % 1.74/1.85 apply (zenon_L1951_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1910_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1952_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1947_); trivial. % 1.74/1.85 apply (zenon_L1954_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1919_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1922_); trivial. % 1.74/1.85 apply (zenon_L1955_); trivial. % 1.74/1.85 apply (zenon_L1924_); trivial. % 1.74/1.85 apply (zenon_L1926_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1941_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1949_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1940_); trivial. % 1.74/1.85 apply (zenon_L1931_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1947_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1949_); trivial. % 1.74/1.85 apply (zenon_L1932_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_L1262_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1251_); trivial. % 1.74/1.85 apply (zenon_L1958_); trivial. % 1.74/1.85 apply (zenon_L1938_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1959_); trivial. % 1.74/1.85 apply (zenon_L1250_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1961_); trivial. % 1.74/1.85 apply (zenon_L1964_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L1961_); trivial. % 1.74/1.85 apply (zenon_L1909_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1965_); trivial. % 1.74/1.85 apply (zenon_L1240_); trivial. % 1.74/1.85 apply (zenon_L1967_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1936_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1965_); trivial. % 1.74/1.85 apply (zenon_L555_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1966_); trivial. % 1.74/1.85 apply (zenon_L555_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L1246_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.85 apply (zenon_L1156_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L63_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L676_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.85 apply (zenon_L372_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.85 apply (zenon_L94_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.85 apply (zenon_L1554_); trivial. % 1.74/1.85 apply (zenon_L1969_); trivial. % 1.74/1.85 apply (zenon_L733_); trivial. % 1.74/1.85 apply (zenon_L1245_); trivial. % 1.74/1.85 apply (zenon_L1970_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L776_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1100_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L676_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.85 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hbf ]. % 1.74/1.85 apply (zenon_L372_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H12. zenon_intro zenon_Hc0. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hb6. zenon_intro zenon_Hc1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c5 ]. % 1.74/1.85 apply (zenon_L735_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.85 apply (zenon_L1971_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.85 apply (zenon_L1554_); trivial. % 1.74/1.85 apply (zenon_L1969_); trivial. % 1.74/1.85 exact (zenon_H5 zenon_H6). % 1.74/1.85 apply (zenon_L736_); trivial. % 1.74/1.85 apply (zenon_L1970_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L1246_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H4b | zenon_intro zenon_H81 ]. % 1.74/1.85 apply (zenon_L1156_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H12. zenon_intro zenon_H82. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H5d. zenon_intro zenon_H83. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H5e. zenon_intro zenon_H5c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1100_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H12. zenon_intro zenon_H51. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H42. zenon_intro zenon_H52. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L1975_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H12. zenon_intro zenon_H3d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H30. zenon_intro zenon_H3e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H31. zenon_intro zenon_H32. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2f1 ]. % 1.74/1.85 apply (zenon_L94_); trivial. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H129 ]. % 1.74/1.85 apply (zenon_L1554_); trivial. % 1.74/1.85 apply (zenon_L1871_); trivial. % 1.74/1.85 apply (zenon_L733_); trivial. % 1.74/1.85 apply (zenon_L1978_); trivial. % 1.74/1.85 apply (zenon_L1130_); trivial. % 1.74/1.85 apply (zenon_L1970_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L776_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1965_); trivial. % 1.74/1.85 apply (zenon_L736_); trivial. % 1.74/1.85 apply (zenon_L1970_); trivial. % 1.74/1.85 apply (zenon_L1256_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_L1737_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_L1736_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_L397_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H12. zenon_intro zenon_H20d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1eb. zenon_intro zenon_H20e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L409_); trivial. % 1.74/1.85 apply (zenon_L1979_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1981_); trivial. % 1.74/1.85 apply (zenon_L408_); trivial. % 1.74/1.85 apply (zenon_L1985_); trivial. % 1.74/1.85 apply (zenon_L1986_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1275_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L905_); trivial. % 1.74/1.85 apply (zenon_L1860_); trivial. % 1.74/1.85 apply (zenon_L1987_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1278_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L905_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1273_); trivial. % 1.74/1.85 apply (zenon_L1988_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1285_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L905_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1283_); trivial. % 1.74/1.85 apply (zenon_L1988_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1272_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1989_); trivial. % 1.74/1.85 apply (zenon_L1990_); trivial. % 1.74/1.85 apply (zenon_L1992_); trivial. % 1.74/1.85 apply (zenon_L1987_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1993_); trivial. % 1.74/1.85 apply (zenon_L1990_); trivial. % 1.74/1.85 apply (zenon_L1992_); trivial. % 1.74/1.85 apply (zenon_L1994_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_L1298_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1989_); trivial. % 1.74/1.85 apply (zenon_L1995_); trivial. % 1.74/1.85 apply (zenon_L1997_); trivial. % 1.74/1.85 apply (zenon_L1998_); trivial. % 1.74/1.85 apply (zenon_L1999_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_L1279_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1280_); trivial. % 1.74/1.85 apply (zenon_L1274_); trivial. % 1.74/1.85 apply (zenon_L1282_); trivial. % 1.74/1.85 apply (zenon_L1987_); trivial. % 1.74/1.85 apply (zenon_L1261_); trivial. % 1.74/1.85 apply (zenon_L1287_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_L2000_); trivial. % 1.74/1.85 apply (zenon_L2001_); trivial. % 1.74/1.85 apply (zenon_L1298_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L2003_); trivial. % 1.74/1.85 apply (zenon_L1290_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L867_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L2003_); trivial. % 1.74/1.85 apply (zenon_L1132_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1877_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L1790_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L2006_); trivial. % 1.74/1.85 apply (zenon_L1827_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H12. zenon_intro zenon_H18d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H15a. zenon_intro zenon_H18e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H161 | zenon_intro zenon_H187 ]. % 1.74/1.85 apply (zenon_L1790_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H188. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17e. zenon_intro zenon_H189. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L2006_); trivial. % 1.74/1.85 apply (zenon_L1132_); trivial. % 1.74/1.85 apply (zenon_L1879_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1288_); trivial. % 1.74/1.85 apply (zenon_L1274_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1288_); trivial. % 1.74/1.85 apply (zenon_L1860_); trivial. % 1.74/1.85 apply (zenon_L1987_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1288_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1273_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1249_); trivial. % 1.74/1.85 apply (zenon_L1002_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1288_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1273_); trivial. % 1.74/1.85 apply (zenon_L2008_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1285_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L943_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1283_); trivial. % 1.74/1.85 apply (zenon_L2008_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1291_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_L2009_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H12. zenon_intro zenon_H179. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H13a. zenon_intro zenon_H17a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H13b. zenon_intro zenon_H139. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1285_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L905_); trivial. % 1.74/1.85 apply (zenon_L1925_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1288_); trivial. % 1.74/1.85 apply (zenon_L1995_); trivial. % 1.74/1.85 apply (zenon_L1997_); trivial. % 1.74/1.85 apply (zenon_L1998_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1296_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L2011_); trivial. % 1.74/1.85 apply (zenon_L1240_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_L1192_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L2017_); trivial. % 1.74/1.85 apply (zenon_L1240_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_L1192_); trivial. % 1.74/1.85 apply (zenon_L2018_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_L1882_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_L646_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1880_); trivial. % 1.74/1.85 apply (zenon_L1226_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L2019_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He8 | zenon_intro zenon_H178 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1678_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H12. zenon_intro zenon_H11f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hc6. zenon_intro zenon_H120. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 1.74/1.85 apply (zenon_L1100_); trivial. % 1.74/1.85 apply (zenon_L1839_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1678_); trivial. % 1.74/1.85 apply (zenon_L1195_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1693_); trivial. % 1.74/1.85 apply (zenon_L1179_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L493_); trivial. % 1.74/1.85 apply (zenon_L2020_); trivial. % 1.74/1.85 apply (zenon_L1887_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H383. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2cd. zenon_intro zenon_H384. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H2cb. zenon_intro zenon_H2cc. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_He4 | zenon_intro zenon_H377 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1338_); trivial. % 1.74/1.85 apply (zenon_L2032_); trivial. % 1.74/1.85 apply (zenon_L1367_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L1380_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L1373_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H12. zenon_intro zenon_H1da. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1cc. zenon_intro zenon_H1db. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1cd. zenon_intro zenon_H1cb. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1375_); trivial. % 1.74/1.85 apply (zenon_L2034_); trivial. % 1.74/1.85 apply (zenon_L2037_); trivial. % 1.74/1.85 apply (zenon_L1399_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_L1736_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1685_); trivial. % 1.74/1.85 apply (zenon_L408_); trivial. % 1.74/1.85 apply (zenon_L2038_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1434_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1435_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_L2041_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_L1436_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H12b. zenon_intro zenon_H1bb. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H12c. zenon_intro zenon_H12a. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b ]. % 1.74/1.85 apply (zenon_L904_); trivial. % 1.74/1.85 apply (zenon_L2027_); trivial. % 1.74/1.85 apply (zenon_L2029_); trivial. % 1.74/1.85 apply (zenon_L1337_); trivial. % 1.74/1.85 apply (zenon_L1432_); trivial. % 1.74/1.85 apply (zenon_L2050_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1454_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H12. zenon_intro zenon_H2a1. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1dd. zenon_intro zenon_H2a2. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L2053_); trivial. % 1.74/1.85 apply (zenon_L2054_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H12. zenon_intro zenon_H1aa. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H148. zenon_intro zenon_H1ab. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H147. zenon_intro zenon_H1a4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_L2058_); trivial. % 1.74/1.85 apply (zenon_L2054_); trivial. % 1.74/1.85 apply (zenon_L1393_); trivial. % 1.74/1.85 apply (zenon_L2065_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_L2066_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1432_); trivial. % 1.74/1.85 apply (zenon_L2067_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_L1453_); trivial. % 1.74/1.85 apply (zenon_L2068_); trivial. % 1.74/1.85 apply (zenon_L2069_); trivial. % 1.74/1.85 apply (zenon_L2038_); trivial. % 1.74/1.85 apply (zenon_L1633_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H28d. zenon_intro zenon_H380. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H28e. zenon_intro zenon_H28c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H1 | zenon_intro zenon_H378 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1505_); trivial. % 1.74/1.85 apply (zenon_L2074_); trivial. % 1.74/1.85 apply (zenon_L1519_); trivial. % 1.74/1.85 apply (zenon_L1520_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1502_); trivial. % 1.74/1.85 apply (zenon_L2077_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1511_); trivial. % 1.74/1.85 apply (zenon_L1504_); trivial. % 1.74/1.85 apply (zenon_L2067_); trivial. % 1.74/1.85 apply (zenon_L1519_); trivial. % 1.74/1.85 apply (zenon_L646_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1544_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1502_); trivial. % 1.74/1.85 apply (zenon_L2081_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1511_); trivial. % 1.74/1.85 apply (zenon_L1504_); trivial. % 1.74/1.85 apply (zenon_L2067_); trivial. % 1.74/1.85 apply (zenon_L1519_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1544_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H109 | zenon_intro zenon_H121 ]. % 1.74/1.85 apply (zenon_L1513_); trivial. % 1.74/1.85 apply (zenon_L1540_); trivial. % 1.74/1.85 apply (zenon_L1511_); trivial. % 1.74/1.85 apply (zenon_L2084_); trivial. % 1.74/1.85 apply (zenon_L2086_); trivial. % 1.74/1.85 apply (zenon_L1519_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H258. zenon_intro zenon_H37e. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H25a. zenon_intro zenon_H264. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H5 | zenon_intro zenon_H254 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_L1522_); trivial. % 1.74/1.85 apply (zenon_L2074_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_L1515_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H12. zenon_intro zenon_H256. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H246. zenon_intro zenon_H257. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H244. zenon_intro zenon_H245. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H207 | zenon_intro zenon_H379 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L1667_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1829_); trivial. % 1.74/1.85 apply (zenon_L2077_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1511_); trivial. % 1.74/1.85 apply (zenon_L2067_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_L646_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H210. zenon_intro zenon_H37b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H20f. zenon_intro zenon_H37c. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H289 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L644_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H12. zenon_intro zenon_H1e7. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H190. zenon_intro zenon_H1e8. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H191. zenon_intro zenon_H192. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d8 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H153 | zenon_intro zenon_H18c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1b9 ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hd | zenon_intro zenon_H135 ]. % 1.74/1.85 apply (zenon_L2091_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Hd9. zenon_intro zenon_H137. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hfd. zenon_intro zenon_Hd7. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H8a | zenon_intro zenon_H11d ]. % 1.74/1.85 apply (zenon_L1829_); trivial. % 1.74/1.85 apply (zenon_L2081_); trivial. % 1.74/1.85 apply (zenon_L1671_); trivial. % 1.74/1.85 apply (zenon_L1419_); trivial. % 1.74/1.85 apply (zenon_L1511_); trivial. % 1.74/1.85 apply (zenon_L2093_); trivial. % 1.74/1.85 apply (zenon_L2067_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H12. zenon_intro zenon_H28a. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H1f6. zenon_intro zenon_H28b. % 1.74/1.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H55 | zenon_intro zenon_H20c ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H29f ]. % 1.74/1.85 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H57 | zenon_intro zenon_H1e6 ]. % 1.74/1.85 apply (zenon_L1544_); trivial. % 1.74/1.85 apply (zenon_L2096_); trivial. % 1.74/1.85 apply (zenon_L2086_); trivial. % 1.74/1.85 apply (zenon_L1779_); trivial. % 1.74/1.85 Qed. % 1.74/1.85 % SZS output end Proof % 1.74/1.85 (* END-PROOF *) % 1.74/1.85 nodes searched: 63555 % 1.74/1.85 max branch formulas: 448 % 1.74/1.85 proof nodes created: 13442 % 1.74/1.85 formulas created: 47574 % 1.74/1.85 %------------------------------------------------------------------------------